D. Revin

activity

20082026

most citedOn the number of classes of conjugate Hall subgroups in finite simple groups

71 citations · 213 across the 32 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.GR2018

The Hall property $D_{π}$ is inherited by overgroups of $π$ -Hall subgroups

Nomina Ch. Manzaeva, Danila O. Revin, Evgeny P. Vdovin

Let $π$ be a set of primes. We say that a finite group $G$ is a $D_{π}$ -group if the maximal $π$ -subgroups of $G$ are conjugate. In this paper, we give an affirmative answe…

math.GR2018★ 3 cited

Spectra of Cayley graphs

Wenbin Guo, Daria V. Lytkina, Victor D. Mazurov +1

Let $G$ be a group and $S \subseteq G$ its subset such that $S = S^{- 1}$ , where $S^{- 1} = {s^{- 1} ∣ s \in S}$ . Then {\it the Cayley graph $Cay (G, S)$ } is an undirected graph $Γ$ …

math.GR2018★ 6 cited

The reduction theorem for relatively maximal subgroups

Wenbin Guo, Danila O. Revin, Evgeny P. Vdovin

Let $X$ be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if $A$ is a normal subgroup of a finite group $G$ …

math.GR2018

On the Pronormality of Subgroups of Odd Index in Finite Simple Groups

Anatoly S. Kondrat'ev, Natalia V. Maslova, Danila O. Revin

A subgroup $H$ of a group $G$ is said to be {pronormal} in $G$ if $H$ and $H^{g}$ are conjugate in $⟨ H, H^{g} ⟩$ for every $g \in G$ . Some problems in finite group theory,…

The Hall property Dπ​ is inherited by overgroups of π-Hall subgroups

Spectra of Cayley graphs

The reduction theorem for relatively maximal subgroups

On the Pronormality of Subgroups of Odd Index in Finite Simple Groups

The Hall property $D_{π}$ is inherited by overgroups of $π$ -Hall subgroups