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Integral Representations of the Direct Product of Groups

Published online by Cambridge University Press:  20 November 2018

Alfredo Jones
Alfredo Jones*
Affiliation:
University of Illinois
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Let G be a finite group and R a Dedekind domain with quotient field K. We denote by RG the group ring of formal linear combinations of elements of G with coefficients in R. By an RG-module we understand a unital left RG-module which is finitely generated and torsion-free as R-module. In particular, if R is a principal ideal domain this is equivalent to considering representations of G by matrices with entries in R.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 625 - 630
Copyright
Copyright © Canadian Mathematical Society 1963

References

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4. Maranda, J. M., On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings, Can. J. Math., 7 (1955), 516–526.Google Scholar