Natural Sciences, Mathematics, 2026
ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS
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Submitted: 2025-01-22
© 2026 by author(s) and The Gufo Inc.
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(CC BY-NC 4.0).
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.