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]
Autori: | ||
Titolo: | THE (2,3)-GENERATION OF THE CLASSICAL SIMPLE GROUPS OF DIMENSIONS 6 AND 7 | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0004972715000763 | |
Data di pubblicazione: | 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. | |
Lingua: | Inglese | |
Rivista: | ||
Citazione: | 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] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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