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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 4, Pages 826–837
(Mi smj2460)
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This article is cited in 1 scientific paper (total in 1 paper)
On indices of subgroups in the join of their conjugate pairs
Xianhua Lia, Xinjian Zhangb a School of Mathematics Science, Soochow University, Suzhou 215006, P. R. China
b School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China
Abstract:
Under study is the influence of the index of $H$ in $\langle H,H^g\rangle$ for $g\in G$ on the structure of a group $G$, where $H$ is either a second maximal subgroup of $G$ or a Sylow subgroup of $G$.
Keywords:
second maximal subgroup, Sylow subgroup, solvable group, supersolvable group.
Received: 15.12.2011
Citation:
Xianhua Li, Xinjian Zhang, “On indices of subgroups in the join of their conjugate pairs”, Sibirsk. Mat. Zh., 54:4 (2013), 826–837; Siberian Math. J., 54:4 (2013), 656–665
Linking options:
https://www.mathnet.ru/eng/smj2460 https://www.mathnet.ru/eng/smj/v54/i4/p826
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Abstract page: | 325 | Full-text PDF : | 84 | References: | 57 |
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