{"title":"关于有限p-群的自同构的一个注记","authors":"R. Soleimani","doi":"10.30495/JME.V0I0.1484","DOIUrl":null,"url":null,"abstract":"Let G be a group and Aut^{\\phi}(G) denote the group of all automorphisms of G centralizing G/\\phi(G) elementwise. In this paper, we give a necessary and sufficient condition on a finite p-group G for the group Aut^{\\phi}(G) to be elementary abelian.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on automorphisms of finite p-groups\",\"authors\":\"R. Soleimani\",\"doi\":\"10.30495/JME.V0I0.1484\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let G be a group and Aut^{\\\\phi}(G) denote the group of all automorphisms of G centralizing G/\\\\phi(G) elementwise. In this paper, we give a necessary and sufficient condition on a finite p-group G for the group Aut^{\\\\phi}(G) to be elementary abelian.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-12-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1484\",\"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":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1484","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 Aut^{\phi}(G) denote the group of all automorphisms of G centralizing G/\phi(G) elementwise. In this paper, we give a necessary and sufficient condition on a finite p-group G for the group Aut^{\phi}(G) to be elementary abelian.
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