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Representation Theory

ISSN 1088-4165



On integral representations of $p$-solvable groups

Author: Udo Riese
Journal: Represent. Theory 7 (2003), 177-180
MSC (2000): Primary 20C10
Published electronically: April 23, 2003
MathSciNet review: 1973371
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Abstract: 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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Udo Riese
Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany

Received by editor(s): October 15, 2002
Received by editor(s) in revised form: February 6, 2003
Published electronically: April 23, 2003
Article copyright: © Copyright 2003 American Mathematical Society