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

collaborators

Showing 2015Show all

2 papers · 1 filter

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…

math.GR2015

On the structure of groups, possessing Carter subgroups of odd order

E. P. Vdovin

In the note we prove that all composition factors of a finite group possessing a Carter subgroup of odd order either are abelain, or are isomorphic to $L_{2} (3^{2 n + 1})$ .

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

On the structure of groups, possessing Carter subgroups of odd order

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