2015; Physical and Mathematical Sciences, 49(2 (237): 7–10
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ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS

Shogh Stepanyan*

Received: 2025-02-11 · Published: 2015-06-12

© 2015 The Author(s) and the original publisher.

Licence: as stated by the publisher.
Shared article.
Original title
ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS
Author
Shogh Stepanyan
Published
2015-06-12
Licence
as stated by the publisher

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≥1003 is odd and r divides n. This is a generalization of the analogue result for free periodic groups.
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