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arXiv · 1503.08786

Automorphism groups of endomorphism semigroups of free periodic groups

Varujan S. Atabekyan
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Abstract

In this paper we describe the automorphism groups of the endomorphism semigroups of free Burnside groups $B(m,n)$ for odd exponents $n\ge1003$. We prove, that the groups $Aut(End(B(m,n)))$ and $Aut(B(m,n))$ are isomorphic. In particular, if the groups $Aut(End(B(m,n)))$ and $Aut(End(B(k,n)))$ are isomorphic, then $m=k$.

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Varujan S. Atabekyan. 2015-04-16. Automorphism groups of endomorphism semigroups of free periodic groups. https://doi.org/10.1142/s0218196715500149

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