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This article is cited in 7 scientific papers (total in 7 papers)
Periodic groups acting freely on Abelian groups
D. V. Lytkina Novosibirsk State University, Novosibirsk, Russia
Abstract:
We describe $\{2,3\}$-groups without elements of order 27, acting freely on an Abelian group. In particular, it is proved that such groups are locally finite.
Keywords:
periodic group, Abelian group, local finiteness.
Received: 07.10.2009
Citation:
D. V. Lytkina, “Periodic groups acting freely on Abelian groups”, Algebra Logika, 49:3 (2010), 379–387; Algebra and Logic, 49:3 (2010), 256–261
Linking options:
https://www.mathnet.ru/eng/al445 https://www.mathnet.ru/eng/al/v49/i3/p379
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Abstract page: | 381 | Full-text PDF : | 100 | References: | 71 | First page: | 8 |
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