## Osaka Journal of Mathematics

### On blocks of normal subgroups of finite groups

Masafumi Murai

#### Abstract

For a block $b$ of a normal subgroup of a finite group $G$, E.C. Dade has defined a subgroup $G[b]$ of $G$. We give a character-theoretical interpretation of his result on $G[b]$. In the course of proofs we determine a defect group of a block of $G[b]$ covering $b$. We also consider character-theoretical characterizations of isomorphic blocks with respect to normal subgroups.

#### Article information

Source
Osaka J. Math., Volume 50, Number 4 (2013), 1007-1020.

Dates
First available in Project Euclid: 9 January 2014

https://projecteuclid.org/euclid.ojm/1389278509

Mathematical Reviews number (MathSciNet)
MR3161425

Zentralblatt MATH identifier
1285.20006

Subjects
Primary: 20C20: Modular representations and characters

#### Citation

Murai, Masafumi. On blocks of normal subgroups of finite groups. Osaka J. Math. 50 (2013), no. 4, 1007--1020. https://projecteuclid.org/euclid.ojm/1389278509