THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7

Author:

PELLEGRINI MARCO ANTONIO

Abstract

In this paper, we prove that the finite simple groups $\text{PSp}_{6}(q)$, ${\rm\Omega}_{7}(q)$ and $\text{PSU}_{7}(q^{2})$ are $(2,3)$-generated for all $q$. In particular, this result completes the classification of the $(2,3)$-generated finite classical simple groups up to dimension 7.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference26 articles.

1. [13] M. A. Pellegrini , M. Prandelli and M. C. Tamburini Bellani , ‘The $(2,3)$ -generation of the special unitary groups of dimension $6$ ’, arXiv:1409.3411.

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