We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2
Pellegrini, M. A., Tamburini Bellani, M. C., The (2, 3)-generation of the finite 8-dimensional orthogonal groups, <<JOURNAL OF GROUP THEORY>>, 2023; 0 (26): 333-356. [doi:10.1515/jgth-2022-0001] [https://hdl.handle.net/10807/226911]
The (2, 3)-generation of the finite 8-dimensional orthogonal groups
Pellegrini, Marco Antonio
;Tamburini Bellani, Maria Clara
2023
Abstract
We construct (2,3) -generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω+8(q) and PΩ+8(q) are (2,3) -generated if and only if q≥4 ; the groups Ω−8(q) and PΩ−8(q) are (2,3) -generated for all q≥2
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