I. Gorshkov

activity

20132023

most citedThe algebraic classification of nilpotent Tortkara algebras

18 citations · 67 across the 18 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.GR2022★ 3 cited

Structure of finite groups with restrictions on the set of conjugacy classes sizes

Ilya Gorshkov

Let $N (G)$ be the set of conjugacy classes sizes of $G$ . We prove that if $N (G) = Ω \times {1, n}$ for specific set $Ω$ of integers, then $G ≃ A \times B$ where $N (A) = Ω$ , $N(B)=\{…

math.RA2022

Quasi-definite axial algebras of Jordan type half

Ilya Gorshkov, Vsevolod Gubarev

Axial algebras are commutative nonassociative algebras generated by a finite set of primitive idempotents which action on an algebra is semisimple, and the fusion laws on the produ…