|
Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2015, Issue 2, Pages 7–10
(Mi uzeru18)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
On automorphisms of some periodic products of groups
A. L. Gevorgyan, Sh. A. Stepanyan Yerevan State University
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.
Keywords:
$n$-periodic product of groups, inner automorphism, normal automorphism, free Burnside group.
Received: 30.04.2015 Accepted: 29.05.2015
Citation:
A. L. Gevorgyan, Sh. A. Stepanyan, “On automorphisms of some periodic products of groups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 2, 7–10
Linking options:
https://www.mathnet.ru/eng/uzeru18 https://www.mathnet.ru/eng/uzeru/y2015/i2/p7
|
|