SPLITTING AUTOMORPHISMS OF FREE BURNSIDE GROUPS

V.S. Atabekyan

doi:10.46991/PYSU:A/2011.45.3.062

SPLITTING AUTOMORPHISMS OF FREE BURNSIDE GROUPS

Authors

V.S. Atabekyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.3.062

Keywords:

splitting automorphism, free Burside group, holomorph of the group

Abstract

We have proved, that if $n\geq1003$ is an arbitrary odd number and $\phi$ is a splitting automorphism of period $n$ of group $B(m,n)$ that has a prime order, then $\phi$ is inner automorphism.

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Published

2011-10-17

How to Cite

Atabekyan, V. (2011). SPLITTING AUTOMORPHISMS OF FREE BURNSIDE GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(3 (226), 62–64. https://doi.org/10.46991/PYSU:A/2011.45.3.062