THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS-Reference-Cited by-同舟云学术

THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS

Published:2016-09-26 Issue:1 Volume:95 Page:48-53
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

PELLEGRINI MARCO ANTONIO

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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