The (2,3)-generation of the finite 8-dimensional orthogonal groups

2022/01/02 by Pellegrini, M. A., Bellani, M. C. Tamburini
#20F05 #20G40 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2201.00367

Abstract

We construct (2,3)-generators for the finite 8-dimensional orthogonal groups, proving the following results: the groups Ω₈⁺(q) and PΩ₈⁺(q) are (2,3)-generated if and only if q≥ 4; the groups Ω₈^-(q) and PΩ₈^-(q) are (2,3)-generated for all q≥ 2.

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