{"title":"Local control and Bogomolov multipliers of finite groups","authors":"Primoz Moravec","doi":"arxiv-2409.04274","DOIUrl":null,"url":null,"abstract":"We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of\nclass at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is\nlocally controlled.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"70 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-06","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-2409.04274","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 show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of
class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is
locally controlled.