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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Representations of metabelian groups realizable in the real field


Author: B. G. Basmaji
Journal: Trans. Amer. Math. Soc. 156 (1971), 109-118
MSC: Primary 20.40
MathSciNet review: 0277610
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Abstract: A necessary and sufficient condition is found such that all the nonlinear irreducible representations of a metabelian group are realizable in the real field, and all such groups with cyclic commutator subgroups are determined.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0277610-4
Keywords: Irreducible representation, nonlinear representation, representation realizable in the real field, monomial representation, induced representation, characters, realvalued characters, group extension, factor set
Article copyright: © Copyright 1971 American Mathematical Society