Correspondences of Characters for Relatively Prime Operator Groups
- 1 January 1968
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 20, 1465-1488
- https://doi.org/10.4153/cjm-1968-148-x
Abstract
Let G be a finite group and let A be a finite solvable operator group on G. Suppose that A and G have relatively prime orders. Let T be the fixed-point subgroup of G with respect to A. We say that A fixes a complex character ζ of G if ζ (gα) = ζ (g) for all g ∈ G and α ϵ A. Our aim in this paper is to define a one-to-one correspondence between the irreducible characters of T and those irreducible characters of G that are fixed by A, and to prove some properties of this correspondence that were mentioned in (8).Keywords
This publication has 1 reference indexed in Scilit:
- Die Theorie der Gruppen von Endlicher OrdnungPublished by Springer Science and Business Media LLC ,1956