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c-Sections of Maximal Subgroups of Finite Groups

✍ Scribed by Yanming Wang; Li Shirong

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
88 KB
Volume
229
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 ≀ M and G = MK. We call the group M ∩ 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 Ο€-solvable groups.

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