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

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abstract

We construct $(2,3)$-generators for the finite $8$-dimensional orthogonal groups, proving the following results: the groups $\Omega_8^+(q)$ and $P\Omega_8^+(q)$ are $(2,3)$-generated if and only if $q\geq 4$; the groups $\Omega_8^-(q)$ and $P\Omega_8^-(q)$ are $(2,3)$-generated for all $q\geq 2$.

fields

cs.CV 1

years

2025 1

verdicts

REJECT 1

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