{"title":"Minimal degrees for faithful permutation representations of groups of order $$p^6$$ where p is an odd prime","authors":"E. A. O’Brien, Sunil Kumar Prajapati, Ayush Udeep","doi":"10.1007/s10801-024-01331-0","DOIUrl":null,"url":null,"abstract":"<p>We determine the minimal degree of a faithful permutation representation for each group of order <span>\\(p^6\\)</span> where <i>p</i> is an odd prime. We also record how to obtain such a representation.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10801-024-01331-0","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
We determine the minimal degree of a faithful permutation representation for each group of order \(p^6\) where p is an odd prime. We also record how to obtain such a representation.
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