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THE $(2,3)$ -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS

Published online by Cambridge University Press:  26 September 2016

MARCO ANTONIO PELLEGRINI*
Affiliation:
Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via Musei 41, 25121 Brescia, Italy email [email protected]
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Abstract

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We complete the classification of the finite special linear groups $\text{SL}_{n}(q)$ which are $(2,3)$ -generated, that is, which are generated by an involution and an element of order $3$ . This also gives the classification of the finite simple groups $\text{PSL}_{n}(q)$ which are $(2,3)$ -generated.

Type
Research Article
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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