Sakuma's conjecture for 2-generated axial algebras of Monster type

Let AA be a 22-generated axial algebra of Monster type over a field of characteristic 00. Sakuma's conjecture. The algebra AA is one of the nine Norton–Sakuma algebras. A classification of the 22-generated algebras is known when a Frobenius form is assumed, and a proof without that assumption was announced by Franchi, Mainardis and Shpectorov in 2018.

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Primary source

Sanhan Khasraw, Justin McInroy and Sergey Shpectorov, “Enumerating 3-generated axial algebras of Monster type”, arXiv:1809.10657 (2020).

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