ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS

A.L. Gevorgyan; Sh.A. Stepanyan

doi:10.46991/PYSU:A/2015.49.2.007

ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS

Authors

A.L. Gevorgyan Chair of Algebra and Geometry, YSU, Armenia
Sh.A. Stepanyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2015.49.2.007

Keywords:

$n$-periodic product of groups, inner automorphism, normal automorphism, free Burnside group

Abstract

It is proved, that if the order of a splitting automorphism of n-periodic product of cyclic groups of order r is a power of some prime, then this automorphism is inner, where $n \geq 1003$ is odd and r divides n. This is a generalization of the analogue result for free periodic groups.

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Published

2015-06-12

How to Cite

Gevorgyan, A., & Stepanyan, S. (2015). ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(2 (237), 7–10. https://doi.org/10.46991/PYSU:A/2015.49.2.007