{"id":"https://openalex.org/W3209214740","doi":"https://doi.org/10.4153/s0008439521000898","title":"Maximal subgroups of nontorsion Grigorchuk\u2013Gupta\u2013Sidki groups","display_name":"Maximal subgroups of nontorsion Grigorchuk\u2013Gupta\u2013Sidki groups","publication_year":2021,"publication_date":"2021-11-02","ids":{"openalex":"https://openalex.org/W3209214740","doi":"https://doi.org/10.4153/s0008439521000898","mag":"3209214740"},"language":"en","primary_location":{"id":"doi:10.4153/s0008439521000898","doi":"https://doi.org/10.4153/s0008439521000898","is_oa":false,"landing_page_url":"https://doi.org/10.4153/s0008439521000898","pdf_url":null,"source":{"id":"https://openalex.org/S4210217933","display_name":"Canadian Mathematical Bulletin","issn_l":"0008-4395","issn":["0008-4395","1496-4287"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Canadian Mathematical Bulletin","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2005.02346","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030462692","display_name":"Dominik Francoeur","orcid":"https://orcid.org/0000-0003-4464-2825","observed_orcids":["https://orcid.org/0000-0003-4464-2825"]},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]},{"id":"https://openalex.org/I63634437","display_name":"Universidad Aut\u00f3noma de Madrid","ror":"https://ror.org/01cby8j38","country_code":"ES","type":"education","lineage":["https://openalex.org/I63634437"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Dominik Francoeur","raw_affiliation_strings":["Instituto de Ciencias Matem\u00e1ticas, Calle Nicol\u00e1s Cabrera, no. 13-15, Campus Cantoblanco, Universidad Aut\u00f3noma de Madrid, 28049Madrid, Spain e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matem\u00e1ticas, Calle Nicol\u00e1s Cabrera, no. 13-15, Campus Cantoblanco, Universidad Aut\u00f3noma de Madrid, 28049Madrid, Spain e-mail:","institution_ids":["https://openalex.org/I4210157032","https://openalex.org/I63634437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040799296","display_name":"Anitha Thillaisundaram","orcid":"https://orcid.org/0000-0001-8768-2590","observed_orcids":["https://orcid.org/0000-0001-8768-2590"]},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Anitha Thillaisundaram","raw_affiliation_strings":["Centre for Mathematical Sciences, Lund University, 223 62Lund, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Mathematical Sciences, Lund University, 223 62Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040799296"],"corresponding_institution_ids":["https://openalex.org/I187531555"],"apc_list":{"value":1030,"currency":"USD","value_usd":1030},"apc_paid":null,"fwci":0.5439,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.50908562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"65","issue":"4","first_page":"825","last_page":"844"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.39750000834465027,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.39750000834465027,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11567","display_name":"semigroups and automata theory","score":0.21789999306201935,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.07349999994039536,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maximal-subgroups","display_name":"maximal subgroups","score":0.9919999837875366},{"id":"https://openalex.org/keywords/torsion-groups","display_name":"torsion groups","score":0.7020000219345093},{"id":"https://openalex.org/keywords/infinite-index-subgroups","display_name":"infinite index subgroups","score":0.6769999861717224}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9287735223770142},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.6077959537506104},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.5916200280189514},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5669408440589905},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.42695242166519165}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.4153/s0008439521000898","doi":"https://doi.org/10.4153/s0008439521000898","is_oa":false,"landing_page_url":"https://doi.org/10.4153/s0008439521000898","pdf_url":null,"source":{"id":"https://openalex.org/S4210217933","display_name":"Canadian Mathematical Bulletin","issn_l":"0008-4395","issn":["0008-4395","1496-4287"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Canadian Mathematical Bulletin","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2005.02346","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02346","pdf_url":"https://arxiv.org/pdf/2005.02346","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:lup.lub.lu.se:ac305c49-1676-4303-b701-67ee6b965a8f","doi":null,"is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/ac305c49-1676-4303-b701-67ee6b965a8f","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0008-4395","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2005.02346","doi":"https://doi.org/10.48550/arxiv.2005.02346","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2005.02346","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2005.02346","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.02346","pdf_url":"https://arxiv.org/pdf/2005.02346","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G8163960986","display_name":null,"funder_award_id":"Scheme 4","funder_id":"https://openalex.org/F4320320184","funder_display_name":"London Mathematical Society"}],"funders":[{"id":"https://openalex.org/F4320320184","display_name":"London Mathematical Society","ror":"https://ror.org/01r1e1h27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3209214740.pdf","grobid_xml":"https://content.openalex.org/works/W3209214740.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W12949226","https://openalex.org/W402754134","https://openalex.org/W1527305211","https://openalex.org/W1566117369","https://openalex.org/W1778960382","https://openalex.org/W1984396412","https://openalex.org/W2003004532","https://openalex.org/W2042740070","https://openalex.org/W2062249479","https://openalex.org/W2116802568","https://openalex.org/W2130475286","https://openalex.org/W2338168627","https://openalex.org/W2505618331","https://openalex.org/W2554828541","https://openalex.org/W2962776692","https://openalex.org/W2964042886","https://openalex.org/W2979458158","https://openalex.org/W3014677051"],"related_works":["https://openalex.org/W1778960382","https://openalex.org/W1558605237","https://openalex.org/W4412163607","https://openalex.org/W4409509131","https://openalex.org/W2201685606","https://openalex.org/W2554828541","https://openalex.org/W4223411511","https://openalex.org/W3014677051","https://openalex.org/W2964042886","https://openalex.org/W3107398926"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"Grigorchuk\u2013Gupta\u2013Sidki":[2],"(GGS)-group":[3],"is":[4],"a":[5],"subgroup":[6],"of":[7,11,41],"the":[8,12,47,54],"automorphism":[9,25],"group":[10],"p-regular":[13],"rooted":[14,24],"tree":[15],"for":[16],"an":[17],"odd":[18],"prime":[19],"p,":[20],"generated":[21],"by":[22],"one":[23,27],"and":[26],"directed":[28],"automorphism.":[29],"Pervova":[30],"proved":[31],"that":[32],"all":[33],"torsion":[34],"GGS-groups":[35],"do":[36],"not":[37,59],"have":[38],"maximal":[39],"subgroups":[40],"infinite":[42],"index.":[43],"Here,":[44],"we":[45],"extend":[46],"result":[48],"to":[49],"nontorsion":[50],"GGS-groups,":[51],"which":[52],"include":[53],"weakly":[55],"regular":[56],"branch,":[57,60],"but":[58],"GGS-group.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-11-08T00:00:00"}