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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 8, Pages 229–244
(Mi fpm1384)
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This article is cited in 5 scientific papers (total in 5 papers)
Local definitions of formations of finite groups
L. A. Shemetkov Francisk Skorina Gomel State University
Abstract:
A problem of constructing local definitions for formations of finite groups is discussed in the article. The author analyzes relations between local definitions of various types. A new proof of the existence of an $\omega$-composition satellite of an $\omega$-solubly saturated formation is obtained. It is proved that if a nonempty formation of finite groups is $\mathfrak X$-local by Förster, then it has an $\mathfrak X$-composition satellite.
Citation:
L. A. Shemetkov, “Local definitions of formations of finite groups”, Fundam. Prikl. Mat., 16:8 (2010), 229–244; J. Math. Sci., 185:2 (2012), 324–334
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https://www.mathnet.ru/eng/fpm1384 https://www.mathnet.ru/eng/fpm/v16/i8/p229
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Abstract page: | 352 | Full-text PDF : | 178 | References: | 51 | First page: | 1 |
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