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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1280–1286
(Mi smj2494)
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This article is cited in 3 scientific papers (total in 3 papers)
On congruences of $m$-groups
A. V. Zenkov Altai State Agricultural University, Barnaul, Russia
Abstract:
We indicate a way for constructing $m$-congruences of an arbitrary $m$-transitive representation, introduce the notions of $m$-$2$-transitive and $m$-primitive representations, and describe the $m$-transitive primitive representations in terms of stabilizers. Also we give necessary and sufficient conditions for $m$-$2$-transitivity and study some properties of these representations.
Keywords:
$m$-group, representation, $m$-block.
Received: 27.12.2012
Citation:
A. V. Zenkov, “On congruences of $m$-groups”, Sibirsk. Mat. Zh., 54:6 (2013), 1280–1286; Siberian Math. J., 54:6 (2013), 1018–1022
Linking options:
https://www.mathnet.ru/eng/smj2494 https://www.mathnet.ru/eng/smj/v54/i6/p1280
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Statistics & downloads: |
Abstract page: | 222 | Full-text PDF : | 70 | References: | 50 | First page: | 2 |
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