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Rational matrix groups of a special type
Authors:Peter Schmid
Affiliation:Mathematisches Institut der Universität Tübingen Auf der Morgenstelle 10 D-7400 Tübingen 1, West Germany
Abstract:
Let G be a finite group having a faithful irreducible character χ for which χ(1) is prime to ¦G¦/χ(1). Let n=[Q(χ):Q]χ(1), and assume that the factors are not both even. Then G can be embedded in GLn(Q) in such a way that its normalizer therein splits over its centralizer.
Keywords:
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