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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 1, Pages 120–125
(Mi smj1270)
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This article is cited in 2 scientific papers (total in 2 papers)
On the influence of the indices of normalizers of Sylow subgroups on the structure of a finite $p$-soluble group
Miao Longa, Guo Wenbinb a Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China
b Department of Mathematics, Xuzhou Normal University, Xuzhou, P. R. China
Abstract:
We study the dependence of the structure of finite $p$-soluble groups on the indices of normalizers of Sylow subgroups. We obtain estimates for the $p$-length of these groups, and for small values of indices we find the nilpotent length of a soluble group.
Received: 31.01.2001
Citation:
Miao Long, Guo Wenbin, “On the influence of the indices of normalizers of Sylow subgroups on the structure of a finite $p$-soluble group”, Sibirsk. Mat. Zh., 43:1 (2002), 120–125; Siberian Math. J., 43:1 (2002), 92–96
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https://www.mathnet.ru/eng/smj1270 https://www.mathnet.ru/eng/smj/v43/i1/p120
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