ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS
DOI:
https://doi.org/10.46991/PYSU:A/2015.49.2.007Keywords:
$n$-periodic product of groups, inner automorphism, normal automorphism, free Burnside groupAbstract
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
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Mathematics
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Copyright (c) 2015 Proceedings of the YSU
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