On equality of certain automorphism groups

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dc.contributor.author Kour, Surjeet
dc.contributor.author Vishakha
dc.date.accessioned 2015-06-20T12:04:32Z
dc.date.available 2015-06-20T12:04:32Z
dc.date.issued 2015-05
dc.identifier.citation Kour, Surjeet and Vishakha, “On equality of certain automorphism groups”, arXiv, Cornell University Library, DOI: arXiv:1505.05622, May 2015. en_US
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/1768
dc.description.abstract Let G=H×A be a finite group, where H is a purely non-abelian subgroup of G and A is a non-trivial abelian factor of G. Then, for n≥2, we show that there exists an isomorphism ϕ:Autγn(G)Z(G)(G)→Autγn(H)Z(H)(H) such that ϕ(Autn−1c(G))=Autn−1c(H). We also give some necessary and sufficient conditions on a finite p-group G such that Autcent(G)=Autn−1c(G) . Furthermore, for a finite non-abelian p-group G, we give some necessary and sufficient conditions for Autγn(G)Z(G)(G) to be equal to AutZ(G)γ2(G)(G). en_US
dc.description.statementofresponsibility by Surjeet Kour and Vishakha
dc.language.iso en en_US
dc.publisher Cornell University Library en_US
dc.subject Automorphism Groups en_US
dc.subject Group Theory en_US
dc.title On equality of certain automorphism groups en_US
dc.type Preprint en_US

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