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

collaborators

Showing 2015Show all

2 papers · 1 filter

math.GR2015

A Moufang loop with exceptional properties of associators

Ilya B. Gorshkov, Alexandre N. Grichkov, Andrei V. Zavarnitsine

We construct a Moufang loop $M$ of order $3^{19}$ and a pair $a, b$ of its elements such that the set of all elements of $M$ that associate with $a$ and $b$ does not form a subloop.…

math.GR2015★ 1 cited

On Thompson's conjecture for alternating and symmetric groups

Ilya B. Gorshkov

For a finite group $G$ denote by $N (G)$ the set of conjugesy class sizes of $G$ . We show that every finite group $G$ with the property $N (G) = N (A l t_{n}), n > 4$ or $N (G) = N (S y m_{n}), n > 22$ …