Osaka Journal of Mathematics

Simple proofs of some theorems in block theory of finite groups

Masafumi Murai

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

https://projecteuclid.org/euclid.ojm/1355926879

Mathematical Reviews number (MathSciNet)
MR3007946

Zentralblatt MATH identifier
1269.20008

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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