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arXiv · 2508.02277

On generation by triality automorphisms

Danila O. Revin·Andrei V. Zavarnitsine
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Abstract

We clarify the structure of subgroups generated by conjugate graph automorphisms of order $3$ of $O_8^+(2)$ and $O_8^+(3)$. As a result, we obtain a correction to a paper by S. Guest which, in turn, plays an important role in proving the solvable analogue of the Baer--Suzuki theorem.

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Danila O. Revin, Andrei V. Zavarnitsine. 2025-08-04. On generation by triality automorphisms. https://doi.org/10.1016/j.jalgebra.2025.10.005

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