## Osaka Journal of Mathematics

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

### On blocks of normal subgroups of finite groups

#### 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

**Permanent link to this document**

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