{"title":"On soluble groups in which commutators have prime power order","authors":"Mateus Figueiredo, Pavel Shumyatsky","doi":"arxiv-2408.01974","DOIUrl":null,"url":null,"abstract":"The article deals with finite groups in which commutators have prime power\norder (CPPO-groups). We show that if G is a soluble CPPO-group, then the order\nof the commutator subgroup G' is divisible by at most two primes.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01974","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The article deals with finite groups in which commutators have prime power
order (CPPO-groups). We show that if G is a soluble CPPO-group, then the order
of the commutator subgroup G' is divisible by at most two primes.
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