Finite Groups with $H_σ$-Permutably Embedded Subgroups

Let $G$ be a finite group. Let $\sigma=\{\sigma_i|i\inI\}$ be a partition of the set of all primes $P$ and $n$ an integer. We write $\sigma(n) = \{\sigma_i|\sigma_i\cap \pi(n)\neq\emptyset\}$, $\sigma(G) = \sigma(|G|)$. A set $H$ of subgroups of $G$ is said to be a complete Hall $\sigma$-set of $G$...

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Bibliographic Details
Main Author: Darya A. Sinitsa
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/4/D.A.%20Sinitsa%20-%20Finite%20groups%20with%20Hsigma-permutability%20embedded%20subgroups.pdf