Vol. 203, No. 2, 2002

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Andrea Lucchini & Fiorenza Morini

Abstract

Assume that a finite group G has a unique minimal normal subgroup, say N. We prove that if the order of N is large enough then the following is true: If d randomly chosen elements generate G modulo N, then these elements almost certainly generate G itself.

Authors
Andrea Lucchini
Dipartimento di Matematica
Università di Brescia
Via Valotti 9, 25133 Brescia, Italy
Fiorenza Morini
Dipartimento di Matematica
Università di Brescia
Via Valotti 9, 25133 Brescia, Italy