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This article is cited in 12 scientific papers (total in 12 papers)
Locally Finite Barely Transitive Groups
V. V. Belyaev, M. Kuzucuoglua a Middle East Technical University
Abstract:
Infinite transitive permutation groups all proper subgroups of which have just finite orbits are treated. Under the extra condition of being locally finite, such groups are proved to be primary, and, moreover, soluble if the stabilizer of some point is soluble.
Keywords:
$p$-group, locally finite group, barely transitive group, point stabilizer, transitive finitary permutation representation.
Received: 08.05.2001 Revised: 29.01.2003
Citation:
V. V. Belyaev, M. Kuzucuoglu, “Locally Finite Barely Transitive Groups”, Algebra Logika, 42:3 (2003), 261–270; Algebra and Logic, 42:3 (2003), 147–152
Linking options:
https://www.mathnet.ru/eng/al29 https://www.mathnet.ru/eng/al/v42/i3/p261
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Abstract page: | 314 | Full-text PDF : | 104 | References: | 61 | First page: | 1 |
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