2022; Physical and Mathematical Sciences, 56(2 (258): 49–57
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ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS

Arman Bayramyan*

Received: 2025-01-22 · Published: 2022-07-13

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CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS
Author
Arman Bayramyan
Published
2022-07-13
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2022.56.2.049

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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