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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 8, Pages 3–13
(Mi ivm8813)
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This article is cited in 1 scientific paper (total in 1 paper)
Groups with relatively small normalizers of biprimary subgroups
V. A. Antonov, T. G. Nozhkina Chair of General Mathematics, South Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Abstract:
We completely describe groups whose any biprimary or nonprimary subgroup is such that the index of its product by the centralizer in its normalizer is divisable by some prime number (fixed for the given group). We give full description of these groups.
Keywords:
group, subgroup, biprimary subgroup, nonprimary subgroup, centralizer, normalizer, index.
Received: 08.06.2012
Citation:
V. A. Antonov, T. G. Nozhkina, “Groups with relatively small normalizers of biprimary subgroups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 3–13; Russian Math. (Iz. VUZ), 57:8 (2013), 1–9
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https://www.mathnet.ru/eng/ivm8813 https://www.mathnet.ru/eng/ivm/y2013/i8/p3
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Abstract page: | 131 | Full-text PDF : | 37 | References: | 29 | First page: | 2 |
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