{"title":"部分交换群的压缩共轭自同构子群的一种表示","authors":"Abdulsatar J. AL-Juburie, A. Duncan","doi":"10.22108/IJGT.2018.104745.1437","DOIUrl":null,"url":null,"abstract":"Let GΓ be a partially commutative group. We find a finite presentation for the subgroupConjV(GΓ) of compressed vertex conjugating automorphisms of the automorphism group Aut(GΓ) of G. We have written GAP packages which compute presentations for Aut(GΓ) and its subgroups Conj(GΓ) and ConjV(GΓ).","PeriodicalId":43007,"journal":{"name":"International Journal of Group Theory","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group\",\"authors\":\"Abdulsatar J. AL-Juburie, A. Duncan\",\"doi\":\"10.22108/IJGT.2018.104745.1437\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let GΓ be a partially commutative group. We find a finite presentation for the subgroupConjV(GΓ) of compressed vertex conjugating automorphisms of the automorphism group Aut(GΓ) of G. We have written GAP packages which compute presentations for Aut(GΓ) and its subgroups Conj(GΓ) and ConjV(GΓ).\",\"PeriodicalId\":43007,\"journal\":{\"name\":\"International Journal of Group Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22108/IJGT.2018.104745.1437\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/IJGT.2018.104745.1437","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group
Let GΓ be a partially commutative group. We find a finite presentation for the subgroupConjV(GΓ) of compressed vertex conjugating automorphisms of the automorphism group Aut(GΓ) of G. We have written GAP packages which compute presentations for Aut(GΓ) and its subgroups Conj(GΓ) and ConjV(GΓ).
期刊介绍:
International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.