On the probability of generating a minimal d-generated group-Reference-Cited by-同舟云学术

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On the probability of generating a minimal d-generated group

Published:2001-10 Issue:2 Volume:71 Page:177-186
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Volta F. Dalla,Lucchini A.,Morini F.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Zu einem von B. H. und H. Neumann gestellten Problem

2. Generators for finite groups with a unique minimal normal subgroup;Lucchini;Rend. Sem. Mat. Univ. Padova,1997

3. On groups withd-generator subgroups of coprime index

4. Some applications of the first cohomology group

5. Decomposition of the Relation Modules of a Finite Group

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