AUTOMORPHISMS OF FINITE ABELIAN GROUPS

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2010Publisher:Project MUSEJournal:Mathematical Proceedings of the Royal Irish Academy, volume 110, pages 57-71 (issn: 1393-7197, eissn: 2009-0021,

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Authors: Bidwell, J. N. S.; Curran, M. J.;

doi: 10.3318/pria.2010.110.1.57 , 10.1353/mpr.2010.0010

AUTOMORPHISMS OF FINITE ABELIAN GROUPS

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Abstract

Summary: We first use elementary methods to analyse the structure of \(\Aut\,G\) where \(G\) is a finite Abelian \(p\)-group with two distinct cyclic factors. This leads us in a natural way to a simple presentation for \(\Aut\,G\). We then generalise these results to the case where \(G\) is an Abelian \(p\)-group with no repeated direct factors.

Keywords

Finite abelian groups, presentations, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, automorphism groups, finite Abelian \(p\)-groups, Automorphisms of abstract finite groups

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