In:
Journal of Algebra and Its Applications, World Scientific Pub Co Pte Ltd, Vol. 15, No. 03 ( 2016-04), p. 1650057-
Abstract:
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.
Type of Medium:
Online Resource
ISSN:
0219-4988
,
1793-6829
DOI:
10.1142/S0219498816500572
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2016
SSG:
17,1