Abstract
Let ℭ be a finite group with a representation as an irreducible group of linear transformations on a finite-dimensional complex vector space. Every choice of a basis for the space gives the representing transformations the form of a particular group of matrices. If for some choice of a basis the resulting group of matrices has entries which all lie in a subfield K of the complex field, we say that the representation can be realized in K. It is well known that every representation of ℭ can be realized in some algebraic number field, a finitedimensional extension of the rational field Q.
Publisher
Canadian Mathematical Society
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Decompositions Modulo Projectives of Lattices over Finite Groups;Journal of Algebra;2000-01
2. Characters of p-Groups;Proceedings of the American Mathematical Society;1987-12
3. Characters of -groups;Proceedings of the American Mathematical Society;1987
4. Representation groups for the Schur index;Journal of Algebra;1985-11
5. Bibliography;North-Holland Mathematics Studies;1980