show/hide this revision's text 2 edited title

Does there always exist a basis Is any representation of C^n relative to which a finite subgroup of GLn(C) consists of matrices with group defined over the algebraic integer entriesintegers?

show/hide this revision's text 1

Does there always exist a basis of C^n relative to which a finite subgroup of GLn(C) consists of matrices with algebraic integer entries?

Apologies in advance if this is obvious.