Finite groups with generalized subnormal embedding of Sylow subgroups
- Authors: Vasil’ev A.F.1, Vasil’eva T.I.2, Vegera A.S.1
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Affiliations:
- Francisk Skorina Gomel State University
- Belarusian State University of Transport
- Issue: Vol 57, No 2 (2016)
- Pages: 200-212
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170352
- DOI: https://doi.org/10.1134/S0037446616020038
- ID: 170352
Cite item
Abstract
Given a set π of primes and a hereditary saturated formation F, we study the properties of the class of groups G for which the identity subgroup and all Sylow p-subgroups are F-subnormal (K-F-subnormal) in G for each p in π. We show that such a class is a hereditary saturated formation and find its maximal inner local screen. Some criteria are obtained for the membership of a group in a hereditary saturated formation in terms of its formation subnormal Sylow subgroups.
About the authors
A. F. Vasil’ev
Francisk Skorina Gomel State University
Author for correspondence.
Email: formation56@mail.ru
Belarus, Gomel
T. I. Vasil’eva
Belarusian State University of Transport
Email: formation56@mail.ru
Belarus, Gomel
A. S. Vegera
Francisk Skorina Gomel State University
Email: formation56@mail.ru
Belarus, Gomel