{"id":"https://openalex.org/W1781661894","doi":"https://doi.org/10.1142/s0218196708004895","title":"THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE \ud835\udd4b \u00d7 \ud835\udd4b","display_name":"THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE \ud835\udd4b \u00d7 \ud835\udd4b","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W1781661894","doi":"https://doi.org/10.1142/s0218196708004895","mag":"1781661894"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196708004895","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004895","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007918794","display_name":"Meirav Amram","orcid":"https://orcid.org/0000-0003-4912-4672"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"MEIRAV AMRAM","raw_affiliation_strings":["Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel","Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Einstein Institute of Mathematics, Hebrew University, Jerusalem, Israel#TAB#","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091766722","display_name":"Mina Teicher","orcid":"https://orcid.org/0000-0003-1700-9709"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"MINA TEICHER","raw_affiliation_strings":["Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045653597","display_name":"Uzi Vishne","orcid":"https://orcid.org/0000-0003-2760-9775"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"UZI VISHNE","raw_affiliation_strings":["Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007918794"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":2.7799,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88630932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"18","issue":"08","first_page":"1259","last_page":"1282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9890000224113464,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9062792062759399},{"id":"https://openalex.org/keywords/fundamental-group","display_name":"Fundamental group","score":0.7110916972160339},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.6968648433685303},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.6561781764030457},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6102014780044556},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.6057928800582886},{"id":"https://openalex.org/keywords/galois-cohomology","display_name":"Galois cohomology","score":0.6038816571235657},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.570411741733551},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.562058687210083},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5230834484100342},{"id":"https://openalex.org/keywords/differential-galois-theory","display_name":"Differential Galois theory","score":0.4920801520347595},{"id":"https://openalex.org/keywords/covering-space","display_name":"Covering space","score":0.48775750398635864},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.4820162057876587},{"id":"https://openalex.org/keywords/galois-extension","display_name":"Galois extension","score":0.4634309709072113},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.4495207667350769},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42612358927726746},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38181501626968384},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3598971962928772},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1794445812702179},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08250623941421509}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9062792062759399},{"id":"https://openalex.org/C159876591","wikidata":"https://www.wikidata.org/wiki/Q662830","display_name":"Fundamental group","level":2,"score":0.7110916972160339},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.6968648433685303},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.6561781764030457},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6102014780044556},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.6057928800582886},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.6038816571235657},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.570411741733551},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.562058687210083},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5230834484100342},{"id":"https://openalex.org/C197968787","wikidata":"https://www.wikidata.org/wiki/Q2383624","display_name":"Differential Galois theory","level":4,"score":0.4920801520347595},{"id":"https://openalex.org/C162329640","wikidata":"https://www.wikidata.org/wiki/Q332648","display_name":"Covering space","level":2,"score":0.48775750398635864},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.4820162057876587},{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.4634309709072113},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.4495207667350769},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42612358927726746},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38181501626968384},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3598971962928772},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1794445812702179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08250623941421509},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196708004895","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196708004895","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320878","display_name":"Minerva Foundation","ror":"https://ror.org/02rxjts25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W29787842","https://openalex.org/W44026624","https://openalex.org/W1553476399","https://openalex.org/W1980707623","https://openalex.org/W2026847368","https://openalex.org/W2043343945","https://openalex.org/W2071216446","https://openalex.org/W2077274316","https://openalex.org/W2165621755","https://openalex.org/W2617213545","https://openalex.org/W3102861921","https://openalex.org/W3162574970","https://openalex.org/W4236482227","https://openalex.org/W4249737283","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W4380323552","https://openalex.org/W4206315376","https://openalex.org/W959740625","https://openalex.org/W2962735649","https://openalex.org/W92122087","https://openalex.org/W2730690530","https://openalex.org/W1568570249","https://openalex.org/W4301958395","https://openalex.org/W1998068624","https://openalex.org/W2098184515"],"abstract_inverted_index":{"This":[0,61],"is":[1,23,56,62,69],"the":[2,11,24,32,36,40,63,72],"final":[3],"paper":[4,29],"in":[5,17],"a":[6,45,67,76,80],"series":[7],"of":[8,35,39,58,75,79],"four,":[9],"concerning":[10],"surface":[12,41],"\ud835\udd4b":[13,15,22],"\u00d7":[14],"embedded":[16],"\u2102\u2119":[18,49],"8":[19],",":[20,51],"where":[21],"one-dimensional":[25],"torus.":[26],"In":[27],"this":[28],"we":[30],"compute":[31],"fundamental":[33,73],"group":[34,68,74],"Galois":[37,77],"cover":[38,78],"with":[42],"respect":[43],"to":[44],"generic":[46],"projection":[47],"onto":[48],"2":[50],"and":[52],"show":[53],"that":[54],"it":[55],"nilpotent":[57],"class":[59],"3.":[60],"first":[64],"time":[65],"such":[66],"presented":[70],"as":[71],"surface.":[81]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}