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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


On integral representations of $p$-solvable groups
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by Udo Riese PDF
Represent. Theory 7 (2003), 177-180 Request permission


It is a long standing problem whether every irreducible representation of a finite group $G$ can be realized over the ring of integers $\mathbb Z[\mu _g]$ of the $g=\exp (G)$-cyclotomic field $\mathbb Q (g)$. We present a result which combines and extends the previously known criteria.
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Additional Information
  • Udo Riese
  • Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
  • Email:
  • Received by editor(s): October 15, 2002
  • Received by editor(s) in revised form: February 6, 2003
  • Published electronically: April 23, 2003
  • © Copyright 2003 American Mathematical Society
  • Journal: Represent. Theory 7 (2003), 177-180
  • MSC (2000): Primary 20C10
  • DOI:
  • MathSciNet review: 1973371