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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 343–346
(Mi smj1179)
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This article is cited in 4 scientific papers (total in 4 papers)
On a group acting locally freely on an abelian group
A. Kh. Zhurtov Kabardino-Balkar State University
Abstract:
A group acting on an abelian group is finite provided that it is generated by a class of conjugate elements such that every two elements of the class generate a finite subgroup that acts freely.
Keywords:
free action, conjugate element, Frobenius group.
Received: 30.12.2002
Citation:
A. Kh. Zhurtov, “On a group acting locally freely on an abelian group”, Sibirsk. Mat. Zh., 44:2 (2003), 343–346; Siberian Math. J., 44:2 (2003), 275–277
Linking options:
https://www.mathnet.ru/eng/smj1179 https://www.mathnet.ru/eng/smj/v44/i2/p343
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