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An intersection property of Sylow 2-subgroups in non-solvable groups

Published online by Cambridge University Press:  01 September 1997

ARNOLD D. FELDMAN  and
AMIL DASGUPTA
ARNOLD D. FELDMAN
Affiliation:
Department of Mathematics, Franklin and Marshall College, Lancaster, PA 17604–3003, U.S.A. e-mail: [email protected]
AMIL DASGUPTA
Affiliation:
Department of Mathematics, Franklin and Marshall College, Lancaster, PA 17604–3003, U.S.A. e-mail: [email protected]
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Abstract

Let Sylp(G) denote the set of Sylow p-subgroups of a finite group G. We say that G has Property Ip if, for any S∈Sylp(G) and U, V[les ]G, S∩U∈Sylp(U) and S∩V∈Sylp(V) implies S∩U∩V∈Sylp(U∩V). Below, every group is assumed to be finite.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 2 , September 1997 , pp. 261 - 268
Copyright
Cambridge Philosophical Society 1997

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