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SOME REMARKS ON THE PROBABILITY OF GENERATING AN ALMOST SIMPLE GROUP

Published online by Cambridge University Press:  31 July 2003

FRANCESCA DALLA VOLTA ,
ANDREA LUCCHINI  and
FIORENZA MORINI
FRANCESCA DALLA VOLTA
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano – Bicocca, Via Bicocca Degli Arcimboldi 8, 20126 Milano, Italy e-mail: dallavolta@matapp.unimib.it
ANDREA LUCCHINI
Affiliation:
Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, Italy e-mail: lucchini@ing.unibs.it
FIORENZA MORINI
Affiliation:
Dipartimento di Matematica, Università di Brescia, Via Valotti 9, 25133 Brescia, Italy e-mail: morini@ing.unibs.it
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Abstract

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We compare the probability of generating with a given number of random elements two almost simple groups with the same socle $S$. In particular we analyse the case $S\,{=}\,{\psl}(2,p)$.

Keywords

20P0520D0620D60
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 2 , May 2003 , pp. 281 - 291
Copyright
2003 Glasgow Mathematical Journal Trust