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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 1, Pages 158–164
(Mi smj2629)
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On the finite groups whose Sylow $3$-subgroup normalizes a Sylow $3'$-subgroup
E. M. Pal'chik Polotsk State University, Novopolotsk, Belarus
Abstract:
We determine the possible composition factors of finite groups in which the index of the normalizer of a Sylow $3$-subgroup is not divisible by a prime $s>3$.
Keywords:
finite group, simple group, indices of the normalizer of a Sylow $3$-subgroup.
Received: 19.10.2012
Citation:
E. M. Pal'chik, “On the finite groups whose Sylow $3$-subgroup normalizes a Sylow $3'$-subgroup”, Sibirsk. Mat. Zh., 56:1 (2015), 158–164; Siberian Math. J., 56:1 (2015), 132–137
Linking options:
https://www.mathnet.ru/eng/smj2629 https://www.mathnet.ru/eng/smj/v56/i1/p158
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Abstract page: | 325 | Full-text PDF : | 77 | References: | 69 | First page: | 11 |
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