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On the intersection of families of maximal subgroups of a finite group

โœ Scribed by A. Ballester-Bolinches

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
627 KB
Volume
67
Category
Article
ISSN
0022-4049

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Let G be a finite group and let M be a maximal subgroup of G. Let K/L be a chief factor of G such that L โ‰ค M and G = MK. We call the group M โˆฉ K/L a c-section of M in G. All c-sections of M are isomorphic. Using the concept of c-sections, we obtain some new characterizations of solvable and ฯ€-solvab