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. 
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     title = {On automorphism groups of endomorphism semigroups of finite elementary {Abelian} groups},
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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/