5 citations · 6 across the 11 of their papers we have counts for
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Axial view on pseudo-composition algebras and train algebras of rank 3
Ilya Gorshkov, Andrey Mamontov, Alexey Staroletov
We show that pseudo-composition algebras and train algebras of rank 3 generated by idempotents are characterized as axial algebras with fusion laws derived from the Peirce decompos…
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…
On characterization by Gruenberg-Kegel graph of finite simple exceptional groups of Lie type
Natalia V. Maslova, Viktor V. Panshin, Alexey M. Staroletov
The Gruenberg-Kegel graph of a finite group is the graph whose vertex set is the set of prime divisors of and in which two distinct vertices and are adjace…