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.

Location: http://mech.math.msu.su/~fpm/eng/k09/k092/k09202h.htm

Last modified: December 22, 2009