E. Vdovin

activity

20122021

most citedPronormality of Hall subgroups in finite simple groups

33 citations · 34 across the 8 of their papers we have counts for

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10 papers · 1 filter

math.GR2021

Intersection of Solvable Hall subgroups in finite groups

Anton A. Baykalov, Evgeny P. Vdovin, Victor I. Zenkov

In this paper we show that if S is a simple classical group, a group G is contained in inner-diagonal automorphisms of S and contains S, and H is a solvable Hall subgroup of G, the…

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

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 Shalev's conjecture for type $A_{n}$ and $^{2} A_{n}$

Alexey Galt, Amit Kulshrestha, Anupam Singh +1

In the paper we consider images of finite simple projective special linear and unitary groups under power words. In particular, we show that if $G\simeq \PSL_n^\varepsilon (q)$, th…

math.GR2017★ 1 cited

Number of Sylow subgroups in finite groups

Wenbin Guo, Evgeny Vdovin

Denote by $ν_{p} (G)$ the number of Sylow $p$ -subgroups of $G$ . It is not difficult to see that $ν_{p} (H) \leq ν_{p} (G)$ for $H \leq G$ , however $ν_{p} (H)$ does not divide $ν_{p} (G)$ in general.…

math.GR2015

The existence of pronormal $π$ -Hall subgroups in $E_{π}$ -groups

D. O. Revin, E. P. Vdovin

A subgroup $H$ of a group $G$ is called {\it pronormal}, if for every $g \in G$ subgroups $H$ and $H^{g}$ are conjugate in $⟨ H, H^{g} ⟩$ . It is proven that if a finite group…

Intersection of Solvable Hall subgroups in finite groups

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

The reduction theorem for relatively maximal subgroups

On Shalev's conjecture for type An​ and 2An​

Number of Sylow subgroups in finite groups

The existence of pronormal π-Hall subgroups in Eπ​-groups

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

On Shalev's conjecture for type $A_{n}$ and $^{2} A_{n}$

The existence of pronormal $π$ -Hall subgroups in $E_{π}$ -groups