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math.RA2023
On Jordan algebras that are factors of Matsuo algebras
Ilya Gorshkov, Andrey Mamontov, Alexey Staroletov
We describe all finite connected 3-transposition groups whose Matsuo algebras have nontrivial factors that are Jordan algebras. As a corollary, we show that if F is a field of char…
math.GR2023
On 3-generated 6-transposition groups
Vsevolod A. Afanasev, Andrey Mamontov
We study -transposition groups, i.e. groups generated by a normal set of involutions , such that the order of the product of any two elements from does not exceed . We…