Some sufficient conditions on solvability of finite groups
2016 ◽
Vol 15
(03)
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pp. 1650057
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Keyword(s):
For a finite group [Formula: see text], the symbol [Formula: see text] denotes the set of the prime divisors of [Formula: see text] denotes the number of conjugacy classes of maximal subgroups of [Formula: see text]. Let [Formula: see text] denote the number of conjugacy classes of non-abelian subgroups of [Formula: see text] and [Formula: see text] denote the number of conjugacy classes of all non-normal non-abelian subgroups of [Formula: see text]. In this paper, we consider the finite groups with [Formula: see text] or [Formula: see text]. We show these groups are solvable.
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1997 ◽
Vol 40
(2)
◽
pp. 243-246
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1973 ◽
Vol 73
(1)
◽
pp. 1-6
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