ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS

Arman Bayramyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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.

Author(s)

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