The essential rank of Brauer categories for finite groups of Lie type | Zendy

An Jianbei | Zendy; Dietrich Heiko | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

The essential rank of Brauer categories for finite groups of Lie type

Author(s) -

An Jianbei,

Dietrich Heiko

Publication year - 2013

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bds095

Subject(s) - mathematics , sylow theorems , rank (graph theory) , block (permutation group theory) , combinatorics , lie group , type (biology) , pure mathematics , finite group , group (periodic table) , chemistry , ecology , biology , organic chemistry

Let G be a finite group of Lie type in characteristic p . Let B be a p ‐block of G with non‐trivial Sylow B ‐subgroup ( D , b D ). We consider the Brauer categoryℱ ( D , b D )( G , B )and determine its essential rank. In addition, we characterize those finite groups G of Lie type that admit a p ‐local subgroup that controls B ‐fusion.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research