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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 8, Pages 129–136
(Mi fpm1194)
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This article is cited in 2 scientific papers (total in 2 papers)
On the normalizer of a Gaschütz system of a finite soluble group
S. F. Kamornikov, L. A. Shemetkov Francisk Skorina Gomel State University
Abstract:
The notion of a Gaschütz system of a finite soluble group was introduced by S. F. Kamornikov in 2008 (this is a set of complements of crowns of pairwise nonisomorphic non-Frattini factors of a chief series of the group). In the present paper, properties of Gaschütz systems are investigated. In particular, we calculate the number of Gaschütz systems in a finite soluble group and prove their conjugacy, obtain a connection between $\mathfrak N$-prefrattini subgroups and normalizers of Gaschütz systems, and investigate factorizations of the normalizer of a Gaschütz system.
Citation:
S. F. Kamornikov, L. A. Shemetkov, “On the normalizer of a Gaschütz system of a finite soluble group”, Fundam. Prikl. Mat., 14:8 (2008), 129–136; J. Math. Sci., 166:5 (2010), 655–660
Linking options:
https://www.mathnet.ru/eng/fpm1194 https://www.mathnet.ru/eng/fpm/v14/i8/p129
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Abstract page: | 281 | Full-text PDF : | 110 | References: | 54 | First page: | 1 |
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