arXiv subjects

Andrei Kukharev

Publications and source records attributed to Andrei Kukharev.

3 recordsLinked to original sources

arXiv2021

Simple groups with Brauer trees of principal blocks in the shape of a star

We have found a list of finite simple groups with cyclic Sylow $p$-subgroup whose principal $p$-blocks have Brauer trees in the shape of a star, that is a tree of diameter at most $2$. Moreover, for an arbitrary finite group $G$ with cyclic Sylow $p$-subgroup, we have obtained a necessary condition when the Brauer tree of the principal $p$-block of $G$ is a star.

math.GR↗

arXiv2017

On Thompson's conjecture for finite simple exceptional groups of Lie type

Let $G$ be a finite group, $N(G)$ be the set of conjugacy classes of the group $G$. In the present paper it is proved $G\simeq L$ if $N(G)=N(L)$, where $G$ is a finite group with trivial center and $L$ is a finite simple group of exceptional Lie type or Tits group.

math.GR↗

arXiv2017

When the group ring of a finite group over a field is serial

We make a list of finite simple groups whose group rings over a given field are serial.

math.RA↗