On integral representations of $p$-solvable groups
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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.References
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Additional Information
- Udo Riese
- Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
- Email: udo.riese@uni-tuebingen.de
- 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: https://doi.org/10.1090/S1088-4165-03-00180-8
- MathSciNet review: 1973371