A version of Brauer’s theorem for integer central functions

Fedor Bogomolov; Jorge Maciel

Open Mathematics (2009)

  • Volume: 7, Issue: 1, page 61-65
  • ISSN: 2391-5455

Abstract

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In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.

How to cite

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Fedor Bogomolov, and Jorge Maciel. "A version of Brauer’s theorem for integer central functions." Open Mathematics 7.1 (2009): 61-65. <http://eudml.org/doc/269132>.

@article{FedorBogomolov2009,
abstract = {In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.},
author = {Fedor Bogomolov, Jorge Maciel},
journal = {Open Mathematics},
keywords = {Brauer’s theorem; Character; Class function; Integer central function; Representation; Brauer theorem; integer central functions; class functions; complex characters; finite groups},
language = {eng},
number = {1},
pages = {61-65},
title = {A version of Brauer’s theorem for integer central functions},
url = {http://eudml.org/doc/269132},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Fedor Bogomolov
AU - Jorge Maciel
TI - A version of Brauer’s theorem for integer central functions
JO - Open Mathematics
PY - 2009
VL - 7
IS - 1
SP - 61
EP - 65
AB - In this article we prove an effective version of the classical Brauer’s Theorem for integer class functions on finite groups.
LA - eng
KW - Brauer’s theorem; Character; Class function; Integer central function; Representation; Brauer theorem; integer central functions; class functions; complex characters; finite groups
UR - http://eudml.org/doc/269132
ER -

References

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  1. [1] Bourbaki N., Elements of Mathematics. Algebra, Addison-Wesley Publishing Co., Reading Mass., 1974 Zbl0281.00006
  2. [2] Grillet P.A., Algebra, John Wiley & Sons, Inc., New York, 1999 
  3. [3] Lang S., Algebra, Addison-Wesley Publishing CO., 1993 
  4. [4] Serre J-P., Linear Representations of Finite Groups, Springer-Verlag, New York-Heidelberg, 1977 

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