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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 59-64
doi:10.1155/S0161171294000098

Some results on π-solvable and supersolvable groups

T.K. Dutta and A. Bhattacharyya

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta 700 019, India

Abstract

For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.