Principal blocks and p-radical groups

Title:

Principal blocks and p-radical groups

Creator:

Hu, Xiaohan and Zeng, Jiwen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c6ea24c9-1d33-47d6-a4e3-2dab37f34116
uuid:c6ea24c9-1d33-47d6-a4e3-2dab37f34116
issn:0011-4642

Subject:

matematika, matematické výpočty, mathematics, mathematical calculations, principal block, p-radical group, p-radical block, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let G be a finite group and k a field of characteristic p > 0. In this paper, we obtain several equivalent conditions to determine whether the principal block B0 of a finite p-solvable group G is p-radical, which means that B0 has the property that e0(kP)G is semisimple as a kG-module, where P is a Sylow p-subgroup of G, kP is the trivial kP-module, (kP)G is the induced module, and e0 is the block idempotent of B0. We also give the complete classification of a finite p-solvable group G which has not more than three simple B0-modules where B0 is p-radical., Xiaohan Hu, Jiwen Zeng., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

431-444

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false