We complete the classification of the finite special linear groups 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 PSL_n(q) which are (2, 3)-generated.
Pellegrini, M. A., THE (2,3)-GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS, <<BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY>>, 2017; 95 (01): 48-53. [doi:10.1017/S0004972716000617] [http://hdl.handle.net/10807/91327]
THE (2,3)-GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS
Pellegrini, Marco AntonioPrimo
2017
Abstract
We complete the classification of the finite special linear groups 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 PSL_n(q) which are (2, 3)-generated.
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