@article {
author = {Zhang, C.},
title = {On non-normal non-abelian subgroups of finite groups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {3},
pages = {659-663},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper we prove that a finite group $G$ having at most three conjugacy classes of non-normal non-abelian proper subgroups is always solvable except for $G\cong{\rm{A_5}}$, which extends Theorem 3.3 in [Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable, Acta Math. Sinica (English Series) 27 (2011) 891--896.]. Moreover, we show that a finite group $G$ with at most three same order classes of non-normal non-abelian proper subgroups is always solvable except for $G\cong{A_5}$.},
keywords = {Non-abelian subgroup,non-normal,conjugacy class,same order class},
url = {http://bims.iranjournals.ir/article_955.html},
eprint = {http://bims.iranjournals.ir/article_955_337a7def7f393b8d74b7c0e4c79047e1.pdf}
}