In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and 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.
Pellegrini, M. A., THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7, <<BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY>>, 2016; 93 (01): 61-72. [doi:10.1017/S0004972715000763] [http://hdl.handle.net/10807/70610]
THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7
Pellegrini
2016
Abstract
In this paper, we prove that the finite simple groups PSp_6(q), Omega_7(q) and 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.
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