ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS

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ON AUTOMORPHISMS OF SOME PERIODIC PRODUCTS OF GROUPS Shogh Stepanyan

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.

DOI: 0.46991/PYSUA.2015.49.2.007 Physical and Mathematical Sciences, 49(2 (237) 7-10

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Keywords

n-periodic product of groups, inner automorphism, normal automorphism, free Burnside group

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