Email this article The Fω-normalizers of finite groups
- Authors: Vedernikov V.A.1, Sorokina M.M.2
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Affiliations:
- Moscow City Teachers’ Training University
- Bryansk State University
- Issue: Vol 58, No 1 (2017)
- Pages: 49-62
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/170922
- DOI: https://doi.org/10.1134/S0037446617010074
- ID: 170922
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Abstract
Given a nonempty set ω of primes and a nonempty formation F of finite groups, we define the Fω-normalizer in a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, embedding, and so on) in the case that F is an ω-local formation. We so develop the results of Carter, Hawkes, and Shemetkov on the F-normalizers in groups.
About the authors
V. A. Vedernikov
Moscow City Teachers’ Training University
Author for correspondence.
Email: vavedernikov@mail.ru
Russian Federation, Moscow
M. M. Sorokina
Bryansk State University
Email: vavedernikov@mail.ru
Russian Federation, Bryansk
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