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ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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