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On the probability of generating a minimal d-generated group

Part of: Probabilistic methods in group theory Permutation groups

Published online by Cambridge University Press:  09 April 2009

F. Dalla Volta ,
A. Lucchini  and
F. Morini
F. Dalla Volta
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano - Bicocca, Via Bicocca Degli Arcimboldi 8, 20126 Milano, Italy
A. Lucchini
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano - Bicocca, Via Bicocca Degli Arcimboldi 8, 20126 Milano, Italy
F. Morini
Affiliation:
Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, Italy
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Abstract

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We consider finite groups with the property that any proper factor can be generated by a smaller number of elements than the group itself. We study some problems related with the probability of generating these groups with a given number of elements.

MSC classification

Secondary: 20B05: General theory for finite groups 20P05: Probabilistic methods in group theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 71 , Issue 2 , October 2001 , pp. 177 - 186
Copyright
Copyright © Australian Mathematical Society 2001

References

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