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Finite group with Hall coverings

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Enrico Jabara  and
Maria Silvia Lucido
Enrico Jabara
Affiliation:
Dipartimento di Matematica Applicata, e Informatica, Università “Ca' Foscari” di Venezia, Via Torino 155, 31073 Venezia Mestre, Italy e-mail: [email protected]
Maria Silvia Lucido
Affiliation:
Dipartimento di Matematica, e Informatica, Università di Udine, Via delle Scienze 208, I-33100 Udine, Italy e-mail: [email protected]
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Abstract

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In this paper we describe the groups admitting a covering with Hall subgroups. We also determine the groups with a π1-Hall subgroup, where π1 is the connected component of the prime graph, containing the prime 2.

MSC classification

Secondary: 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure 20D25: Special subgroups (Frattini, Fitting, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 78 , Issue 1 , February 2005 , pp. 1 - 16
Copyright
Copyright © Australian Mathematical Society 2005

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