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Finite groups that need more generators than any proper quotient

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Francesca Dalla Volta  and
Andrea Lucchini
Francesca Dalla Volta
Affiliation:
Dipartimento di Matematica “F. Enriques” Universitá di MilanoVia Saldini 50, 20133 MilanoItaly e-mail: dallavolta@vmimat.mat.unimi.it
Andrea Lucchini
Affiliation:
Dipartimento di Elettronica per l'Automazione Università di BresciaVia Branze 38, 25123 BresciaItaly e-mail: lucchini@bsing.ing. unibs. it
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Abstract

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A structure theorem is proved for finite groups with the property that, for some integer m with m ≥ 2, every proper quotient group can be generated by m elements but the group itself cannot.

MSC classification

Secondary: 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 1 , February 1998 , pp. 82 - 91
Copyright
Copyright © Australian Mathematical Society 1998

References

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