Full automorphism groups of the axial algebra for M11 and related algebras

Tendai M. Mudziiri Shumba; Sergey Shpectorov

doi:10.48550/arXiv.2602.07556

Full automorphism groups of the axial algebra for M₁₁ and related algebras

Tendai M. Mudziiri Shumba
, Sergey Shpectorov

Mathematics

Research output: Working paper/Preprint › Preprint

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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 M₁₁, its subalgebras and other related algebras. This includes, in particular, the 101-dimensional algebra for L₂(11) and the 76-dimensional algebra for A₆. 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.

Original language	English
Publisher	arXiv
Number of pages	37
DOIs	https://doi.org/10.48550/arXiv.2602.07556
Publication status	Published - 7 Feb 2026

Keywords

math.RA

Access to Document

10.48550/arXiv.2602.07556Licence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

MudziiriShumbaTM2026Full_preprintOther version, 528 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

Cite this

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