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arXiv · 2602.07556

Full automorphism groups of the axial algebra for $M_{11}$ and related algebras

Tendai M. Mudziiri Shumba·Sergey Shpectorov
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Abstract

In this paper, in continuation of arXiv:2311.18538, we compute the full automorphism groups of the 286-dimensional algebra for $M_{11}$, its subalgebras and other related algebras. This includes, in particular, the 101-dimensional algebra for $L_2(11)$ and the 76-dimensional algebra for $A_6$. While smaller algebras can be handled by the fully automatic nuanced method from arXiv:2311.18538, the larger algebras, mentioned above, require a hybrid method combining computation with hand-made proofs.

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Tendai M. Mudziiri Shumba, Sergey Shpectorov. 2026-02-07. Full automorphism groups of the axial algebra for $M_{11}$ and related algebras. https://arxiv.org/abs/2602.07556

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