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Free semigroup in the group of automorphisms of the free Burnside group. (English) Zbl 1121.20028
Summary: Let $$\mathfrak B(m,n)$$ be a free Burnside group of a sufficiently large exponent $$n$$ with a basis of cardinality $$m$$, $$m\geq 2$$. We prove the existence of a free semigroup of rank 2 in $$\operatorname{Aut}\,\mathfrak B(m,n)$$.

##### MSC:
 20F28 Automorphism groups of groups 20F50 Periodic groups; locally finite groups 20M05 Free semigroups, generators and relations, word problems 20E36 Automorphisms of infinite groups
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##### References:
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