The Fω-normalizers of finite groups
- Autores: Vedernikov V.A.1, Sorokina M.M.2
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Afiliações:
- Moscow City Teachers’ Training University
- Bryansk State University
- Edição: Volume 58, Nº 1 (2017)
- Páginas: 49-62
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170922
- DOI: https://doi.org/10.1134/S0037446617010074
- ID: 170922
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Resumo
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.
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Sobre autores
V. Vedernikov
Moscow City Teachers’ Training University
Autor responsável pela correspondência
Email: vavedernikov@mail.ru
Rússia, Moscow
M. Sorokina
Bryansk State University
Email: vavedernikov@mail.ru
Rússia, Bryansk
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