{"id":"https://openalex.org/W2147406829","doi":"https://doi.org/10.1145/1145768.1145817","title":"A parallel architecture for disk-based computing over the Baby Monster and other large finite simple groups","display_name":"A parallel architecture for disk-based computing over the Baby Monster and other large finite simple groups","publication_year":2006,"publication_date":"2006-07-09","ids":{"openalex":"https://openalex.org/W2147406829","doi":"https://doi.org/10.1145/1145768.1145817","mag":"2147406829"},"language":"en","primary_location":{"id":"doi:10.1145/1145768.1145817","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-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/A5053741886","display_name":"Eric Robinson","orcid":"https://orcid.org/0000-0002-6334-3540"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eric Robinson","raw_affiliation_strings":["Northeastern University, Boston, MA","Northeastern University, Boston (MA)#TAB#"],"affiliations":[{"raw_affiliation_string":"Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Northeastern University, Boston (MA)#TAB#","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070983794","display_name":"Gene Cooperman","orcid":"https://orcid.org/0000-0003-2175-3848"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gene Cooperman","raw_affiliation_strings":["Northeastern University, Boston, MA","Northeastern University, Boston (MA)#TAB#"],"affiliations":[{"raw_affiliation_string":"Northeastern University, Boston, MA","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Northeastern University, Boston (MA)#TAB#","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053741886"],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":null,"apc_paid":null,"fwci":3.7525,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.93947037,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":null,"first_page":"298","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monster","display_name":"Monster","score":0.8035024404525757},{"id":"https://openalex.org/keywords/permutation-matrix","display_name":"Permutation matrix","score":0.7081404328346252},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6695897579193115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6177182197570801},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5949183106422424},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5862843990325928},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5032712817192078},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44730114936828613},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4333603084087372},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40583938360214233},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39114290475845337},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32433176040649414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31188514828681946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3042374849319458},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18344128131866455},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07127758860588074}],"concepts":[{"id":"https://openalex.org/C2778626061","wikidata":"https://www.wikidata.org/wiki/Q6902671","display_name":"Monster","level":2,"score":0.8035024404525757},{"id":"https://openalex.org/C84140500","wikidata":"https://www.wikidata.org/wiki/Q851512","display_name":"Permutation matrix","level":3,"score":0.7081404328346252},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6695897579193115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6177182197570801},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5949183106422424},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5862843990325928},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5032712817192078},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44730114936828613},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4333603084087372},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40583938360214233},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39114290475845337},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32433176040649414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31188514828681946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3042374849319458},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18344128131866455},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07127758860588074},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1145768.1145817","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145817","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.1442","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.1442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ccs.neu.edu/home/gene/papers/issac06.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W32371573","https://openalex.org/W62007627","https://openalex.org/W74097896","https://openalex.org/W135053117","https://openalex.org/W135764416","https://openalex.org/W759088099","https://openalex.org/W1489401953","https://openalex.org/W1519905199","https://openalex.org/W1586419905","https://openalex.org/W1587855643","https://openalex.org/W1588071501","https://openalex.org/W1965922642","https://openalex.org/W1976677460","https://openalex.org/W1995574135","https://openalex.org/W2011789258","https://openalex.org/W2020524208","https://openalex.org/W2024018000","https://openalex.org/W2026841755","https://openalex.org/W2033666770","https://openalex.org/W2036318904","https://openalex.org/W2047131975","https://openalex.org/W2047722452","https://openalex.org/W2053459007","https://openalex.org/W2064321016","https://openalex.org/W2067104210","https://openalex.org/W2068665673","https://openalex.org/W2087494085","https://openalex.org/W2088432915","https://openalex.org/W2089438441","https://openalex.org/W2089945618","https://openalex.org/W2091511406","https://openalex.org/W2094919347","https://openalex.org/W2107699903","https://openalex.org/W2129412783","https://openalex.org/W2131472298","https://openalex.org/W2152815562","https://openalex.org/W2572121573","https://openalex.org/W2603819451","https://openalex.org/W4212929410","https://openalex.org/W4255168046"],"related_works":["https://openalex.org/W4285790638","https://openalex.org/W2967856490","https://openalex.org/W3013139561","https://openalex.org/W2949607517","https://openalex.org/W2917004075","https://openalex.org/W2140809923","https://openalex.org/W4308670488","https://openalex.org/W1571172411","https://openalex.org/W2391050754","https://openalex.org/W2386229264"],"abstract_inverted_index":{"We":[0],"outline":[1],"a":[2,19,26,45,58,81,90,92,95,107,119,124],"distributed,":[3],"disk-based":[4],"technique":[5,14,134],"for":[6,22,98],"computing":[7,99],"over":[8,69,100],"very":[9],"large":[10],"matrix":[11,108],"groups.":[12],"This":[13,43],"is":[15,38,44,49,73,114,127],"used":[16],"to":[17,87,136,141],"compute":[18],"permutation":[20,59],"representation":[21,97,109],"the":[23,63,70,77,101,121,130],"Baby":[24,71,102],"Monster,":[25],"sporadic":[27],"simple":[28,138],"group":[29,36],"that":[30,126],"acts":[31],"on":[32],"13,571,955,000":[33],"points.":[34],"Its":[35],"order":[37],"approximately":[39],"4":[40],"\u00d7":[41],"1033.":[42],"landmark":[46],"because":[47],"it":[48],"100":[50],"times":[51],"larger":[52],"than":[53],"any":[54],"previous":[55],"construction":[56],"of":[57,80,123],"representation.":[60],"By":[61],"using":[62,76,117],"computed":[64],"on-disk":[65],"data":[66],"structures,":[67],"computation":[68],"Monster":[72,103],"now":[74],"feasible":[75],"distributed":[78],"disks":[79],"cluster.":[82],"Our":[83],"work":[84],"allows":[85],"researchers":[86],"use":[88],"either":[89],"matrix,":[91],"permutation,":[93],"or":[94],"word":[96],"where":[104],"previously":[105],"only":[106],"was":[110],"available.":[111],"The":[112,133],"methodology":[113],"demonstrated":[115],"by":[116,129],"as":[118],"signature":[120],"image":[122],"vector":[125],"stabilized":[128],"maximal":[131],"subgroup.":[132],"extends":[135],"finite":[137],"groups":[139],"and":[140],"other":[142,145],"groups,":[143],"through":[144],"signatures.":[146]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}