Concepedia

Nilpotent and abelian Hall subgroups in finite groups

Antonio Beltrán, María José Felipe, Gunter Malle, Alexander Moretó, Gabriel Navarro, Lucía Sanus, Ronald Solomon, Pham Huu Tiep

Transactions of the American Mathematical Society · 2015 · 24 citations · 10 references

DOIFull text

Open access

Concepts

Abstract

We give a characterization of the finite groups having nilpotent or abelian Hall $\pi$-subgroups that can easily be verified using the character table.

References

10

Character theory of finite groups

Choice Reviews Online · 1999 · 2.2K citations · Full text

, , +13

FINITE GROUPS OF LIE TYPE Conjugacy classes and complex characters

J. A. Green · Bulletin of the London Mathematical Society · 1987 · 658 citations

, , +8

The local structure of finite groups of characteristic 2 type

Daniel Gorenstein, Richard Lyons · Memoirs of the American Mathematical Society · 1983 · 329 citations

, , +6

Quasi-isolated blocks and Brauer's height zero conjecture

Radha Kessar, Gunter Malle · Annals of Mathematics · 2013 · 143 citations · Full text

, , +10

Real conjugacy classes in algebraic groups and finite groups of Lie type

Pham Huu Tiep, Alexandre Zalesski · Journal of Group Theory · 2005 · 92 citations

, , +15