Infinite order automorphisms of free periodic groups of sufficiently large exponent
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 38-42
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In this paper we construct infinite order automorphisms of free periodic groups $B(m,n)$ of sufficiently large period $n$ with $m\geq2$ generators. From the obtained results it follows that the quotient group of the group $\mathrm{Aut}(B(m,n))$ with respect to normal subgroup of inner automorphisms is infinite.
Keywords:
free periodic groups, Burnside groups, group automorphisms.
A. S. Pahlevanyan. Infinite order automorphisms of free periodic groups of sufficiently large exponent. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2009), pp. 38-42. http://geodesic.mathdoc.fr/item/UZERU_2009_2_a6/
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author = {A. S. Pahlevanyan},
title = {Infinite order automorphisms of free periodic groups of sufficiently large exponent},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {38--42},
year = {2009},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2009_2_a6/}
}
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