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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★ 1 cited
On -index extremal groups
Andrey V. Vasil'ev, Ilya B. Gorshkov
The question on connection between the structure of a finite group and the properties of the indices of elements of has been a popular research topic for many years. The $p…