Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2002Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 60, pages 283-290 (issn: 0033-3883,

Authors: Dutta, T. K.; Sen, P.;

doi: 10.5486/pmd.2002.2234

Some characterizations of $\pi$-solvable and supersolvable groups using $\theta$-pairs

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Abstract

Summary: For a finite group $G$, $D_p(G)$ is a generalization of the Frattini subgroup of $G$. We obtain some results on $\pi$-solvable and supersolvable groups with the help of $D_p(G)$ using $\theta$-pairs.

Keywords

Special subgroups (Frattini, Fitting, etc.), $\theta$-pairs, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, $\pi$-length, ranks, $\pi$-solvable groups, supersolvable groups, generalized Frattini subgroups, finite groups

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