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IJMSI 2026, 21(1): 13-19 |
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Hussain M T. Finite Groups with Given σ-conditionally Permutable Subgroups. IJMSI 2026; 21 (1) :13-19
URL: http://ijmsi.ir/article-1-2126-en.html
URL: http://ijmsi.ir/article-1-2126-en.html
Abstract:
Let σ = {σi|i ∈ I} be a partition of the set of all primes P and G a finite group. A set H of subgroups of G is said to be a complete Hall σ-set of G if every member≠ 1 of H is a Hall σi-subgroup of G for some i ∈ I and H contains exactly one Hall σi-subgroup of G for every i such that σi ∩π(G)≠ ∅. In this paper, we study the structure of G based on the notion of σ-conditionally permutable subgroups.
Keywords: Finite groups, σ-conditionally permutable subgroups, Supersoluble groups, σ-nilpotent subgroups, Complete Hall σ-set.
Type of Study: Research paper |
Subject:
General
References
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