ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS

Arman Bayramyan

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Abstract

In this article, we explore the automorphisms of endomorphism semigroups and automorphism groups
of the finite elementary Abelian groups. In particular, we prove that
Aut(End(Zp⊕Zp⊕⋯⊕Zp)) can be canonically embedded into
Aut(Aut(Zp⊕Zp⊕⋯⊕Zp)) using an elementary approach based
on matrix operations. We also show that all automorphisms of End(Zp⊕Zp⊕⋯⊕Zp)
are inner.

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ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS

Abstract

Author(s)

Table of Contents

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ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS

Abstract

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