Osaka Journal of Mathematics

Simple proofs of some theorems in block theory of finite groups

Masafumi Murai

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Abstract

We give simple proofs of Laradji's theorem on blocks with central defect groups, Watanabe's theorem on the Glauberman--Watanabe correspondences of blocks and Robinson's theorem on defect groups of $p$-blocks of $p$-solvable groups attaining Brauer's upper bound for the number of irreducible characters.

Article information

Source
Osaka J. Math., Volume 49, Number 4 (2012), 869-873.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1355926879

Mathematical Reviews number (MathSciNet)
MR3007946

Zentralblatt MATH identifier
1269.20008

Subjects
Primary: 20C15: Ordinary representations and characters 20C20: Modular representations and characters

Citation

Murai, Masafumi. Simple proofs of some theorems in block theory of finite groups. Osaka J. Math. 49 (2012), no. 4, 869--873. https://projecteuclid.org/euclid.ojm/1355926879


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