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Communications in Algebra Volume 33, 2005 - Issue 2
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Original Articles

FREE SEMIGROUP IN THE GROUP OF AUTOMORPHISMS OF THE FREE BURNSIDE GROUP

E.A. Cherepanov Department of Mechanics and Mathematics, Moscow State University, Moscow, RussiaCorrespondence[email protected]
Pages 539-547 | Received 01 Sep 2003, Published online: 01 Feb 2007
 
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ABSTRACT

Let 𝔅( m, n ) be a free Burnside group of a sufficiently large exponent bin with a basis of cardinality m , m  ≥  2 . We prove the existence of a free semigroup of rank 2 in Aut  𝔅( m, n ).

ACKNOWLEDGMENT

The author is grateful to professor A. Yu. Ol'shanskii for many useful discussions.

Notes

#Communicated by A. Ol‘shanskii.

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