Geodesic
On automorphism groups of endomorphism semigroups of finite elementary Abelian groups
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 2, pp. 49-57

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In this article, we explore the automorphisms of endomorphism semigroups and automorphism groups of the finite elementary Abelian groups. In particular, we prove that $\mathrm{Aut}(\mathrm{End}(\mathbb{Z}_p\oplus\mathbb{Z}_p\oplus\cdots\oplus\mathbb{Z}_p))$ can be canonically embedded into $\mathrm{Aut}(\mathrm{Aut}(\mathbb{Z}_p\oplus\mathbb{Z}_p\oplus\cdots\oplus\mathbb{Z}_p))$ using an elementary approach based on matrix operations. We also show that all automorphisms of $\mathrm{End}(\mathbb{Z}_p\oplus\mathbb{Z}_p\oplus\cdots\oplus\mathbb{Z}_p)$ are inner.
Keywords: automorphisms of matrix semigroups, finite elementary Abelian groups, automorphisms of endomorphism semigroup. 
A. A. Bayramyan. On automorphism groups of endomorphism semigroups of finite elementary Abelian groups. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 56 (2022) no. 2, pp. 49-57. http://geodesic.mathdoc.fr/item/UZERU_2022_56_2_a1/
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