On nth class preserving automorphisms of n-isoclinism family

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dc.contributor.author Kour, Surjeet
dc.date.accessioned 2017-01-31T10:31:15Z
dc.date.available 2017-01-31T10:31:15Z
dc.date.issued 2017-01
dc.identifier.citation Kour, Surjeet, “On nth class preserving automorphisms of n-isoclinism family”, arXiv, Cornell University Library, DOI:arXiv:1701.05438, Jan. 2017. en_US
dc.identifier.uri http://repository.iitgn.ac.in/handle/123456789/2656
dc.identifier.uri http://arxiv.org/abs/1701.05438
dc.description.abstract Let G be a finite group and M,N be two normal subgroups of G. Let AutMN(G) denote the group of all automorphisms of G which fix N element wise and act trivially on G/M. Let n be a positive integer. In this article we have shown that if G and H are two n-isoclinic groups, then there exists an isomorphism from Autγn+1(G)Zn(G)(G) to Autγn+1(H)Zn(H)(H), which maps the group of nth class preserving automorphisms of G to the group of nth class preserving automorphisms of H. Also, for a nilpotent group of class at most (n+1), with some suitable conditions on γn+1(G), we prove that Autγn+1(G)Zn(G)(G) is isomorphic to the group of inner automorphisms of a quotient group of G. en_US
dc.description.statementofresponsibility by Surjeet Kour
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.title On nth class preserving automorphisms of n-isoclinism family en_US
dc.type Article en_US


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