{"title":"有限群的次中心自同构","authors":"Parisa Seifizadeh, M. M. Nasrabadi","doi":"10.24193/mathcluj.2020.1.09","DOIUrl":null,"url":null,"abstract":". Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the subcentral automorphisms of finite groups\",\"authors\":\"Parisa Seifizadeh, M. M. Nasrabadi\",\"doi\":\"10.24193/mathcluj.2020.1.09\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).\",\"PeriodicalId\":39356,\"journal\":{\"name\":\"Mathematica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24193/mathcluj.2020.1.09\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24193/mathcluj.2020.1.09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
. Let G be a group and let M be a characteristic subgroup of G . We denote by Aut MM ( G ) the set of all automorphisms of G which centralize G/M and M. In this paper, we give necessary and sufficient conditions for the equality of Aut MM ( G ) with Aut M ( G ) and C Aut MM ( G ) ( Z ( G )).
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