ScholarLens Back to search
2005•Journal of Qingdao UniversityRequires access

On Generalized Frattini Subgroup of a Finte Group

Yu Wang

Open publisher page 0 citations

Abstract

in[3]and[4],the authors give some necessary and sufficient conditions for a soluble group by using the properties of cmaximal subgroup and theta pairs for a maximal subgroup.in this article, Φ_π(G) is defined to be the intersection of a class of the maximal subgroups of G ,which is a generalization of the Frattini subgroup of G. Some necessary and sufficient conditions for a nilpotent group and a soluble group are also obtained in virtue of the properties of the generalized Frattini subgroup and theta pairs for a maximal subgroup.

About this research paper

What this paper is about

in[3]and[4],the authors give some necessary and sufficient conditions for a soluble group by using the properties of cmaximal subgroup and theta pairs for a maximal subgroup.in this article, Φ_π(G) is defined to be the intersection of a class of the maximal subgroups of G ,which is a generalization of the Frattini subgroup of G. Some necessary and sufficient conditions for a nilpotent group and a soluble group are also obtained in virtue of the properties of the generalized Frattini subgroup and theta pairs for a maximal subgroup.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

in[3]and[4],the authors give some necessary and sufficient conditions for a soluble group by using the properties of cmaximal subgroup and theta pairs for a maximal subgroup.in this article, Φ_π(G) is defined to be the intersection of a class of the maximal subgroups of G ,which is a generalization of the Frattini subgroup of G. Some necessary and sufficient conditions for a nilpotent group and a soluble group are also obtained in virtue of the properties of the generalized Frattini subgroup and theta pairs for a maximal subgroup.

Key concepts: Maximal subgroup, Mathematics, Characteristic subgroup, Index of a subgroup, Commutator subgroup, Normal subgroup, Fitting subgroup, Subgroup

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
On Generalized Frattini Subgroup of a Finte Group — Research Paper | ScholarLens