Natural Science, Mathematics, 2025
ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS
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Submitted: 2025-02-11; Published: 2025-02-11
© 2025 by author(s) and The Gufo Inc.
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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.