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The Influence of the Number of Non-(sub)normal Non-abelian Subgroups on Solvability of Finite Groups

Jiangtao Shi and
Cui Zhang

Jiangtao Shi

School of Mathematics and Information Science, Yantai University, Yantai, Shandong 264005, China

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and

Cui Zhang

School of Mathematics and Information Science, Yantai University, Yantai, Shandong 264005, China

Corresponding author.

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https://doi.org/10.1142/S100538671600033XCited by:0 (Source: Crossref)

Abstract

We obtain some sufficient conditions on the number of non-(sub)normal non-abelian subgroups of a finite group to be solvable, which extend a result of Shi and Zhang in 2011.

The first author was supported by NSFC (11201401). The second author was supported by NSFC (11201403).

Keywords:

non-abelian subgroup
non-normal
non-subnormal
solvable

AMSC: 20D05, 20D10

Vol. 23, No. 02

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History

Received 19 September 2012

Keywords

non-abelian subgroup
non-normal
non-subnormal
solvable

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The Influence of the Number of Non-(sub)normal Non-abelian Subgroups on Solvability of Finite Groups

Abstract

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