This article is cited 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.

MSC: Primary 20F05; Secondary 20E36, 20F50, 20D45

Received: 30.04.2015
Accepted: 29.05.2015

Language: English