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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1972 Volume 12, Issue 6, Pages 727–738 (Mi mzm9938)

This article is cited in 4 papers

Abelian and metabelian groups with regular automorphisms and semiautomorphisms

M. M. Glukhov, S. V. Larin

Krasnoyarsk State Pedagogical Institute

Abstract: In this paper we describe all abelian groups which can be expanded as the direct product of cyclic subgroups which have regular automorphisms of given prime order and also find the necessary and sufficient conditions for the existence of regular semiautomorphisms of prime order for metabelian groups the orders of the elements of which are bounded as a set.

UDC: 519.4

Received: 23.07.1971


 English version:
Mathematical Notes, 1972, 12:6, 876–881

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