FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 2, PAGES 23-33

Finite groups with a $D$-block of cardinality $3$

V. A. Belonogov

Abstract

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The results of this paper are connected with one of the main problems of the representation theory, the problem of dependence between the character table of a finite group and its abstract structure. Finite groups that have a $D$-block of cardinality $3$ for some normal subset $D$ are investigated. Some properties of classical $p$-blocks (where $p$ is a prime number) consisting of three irreducible characters are also obtained.

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Last modified: December 22, 2009