On generation by triality automorphisms
Group Theory
2026-02-20 v2
Abstract
We clarify the structure of subgroups generated by conjugate graph automorphisms of order of and . 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.
Cite
@article{arxiv.2508.02277,
title = {On generation by triality automorphisms},
author = {Danila O. Revin and Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:2508.02277},
year = {2026}
}