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ON MINIMAL DEGREES OF PERMUTATION REPRESENTATIONS OF ABELIAN QUOTIENTS OF FINITE GROUPS

Part of: Permutation groups

Published online by Cambridge University Press:  28 September 2011

CLARA FRANCHI
CLARA FRANCHI*
Affiliation:
Dipartimento di Matematica e Fisica ‘Niccolò Tartaglia’, Università Cattolica del Sacro Cuore, Via Musei 41, 25121 Brescia, Italy (email: c.franchi@dmf.unicatt.it)
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Abstract

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For a finite group G, we denote by μ(G) the minimum degree of a faithful permutation representation of G. We prove that if G is a finite p-group with an abelian maximal subgroup, then μ(G/G′)≤μ(G).

Keywords

permutation representationfinite p-group

MSC classification

Secondary: 20B05: General theory for finite groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 408 - 413
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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