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2. Some sufficient conditions on solvability of finite groups.

Author

Meng, Wei, Lu, Jiakuan, Ma, Li, and Ma, Wanqing

Subjects
FINITE groups, SET theory, CONJUGACY classes, ABELIAN groups, NUMBER theory
Abstract

For a finite group , the symbol denotes the set of the prime divisors of denotes the number of conjugacy classes of maximal subgroups of . Let denote the number of conjugacy classes of non-abelian subgroups of and denote the number of conjugacy classes of all non-normal non-abelian subgroups of . In this paper, we consider the finite groups with or . We show these groups are solvable. [ABSTRACT FROM AUTHOR]

Published
2016
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