Genotypes of irreducible representations of finite p-groups

6Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

For any characteristic zero coefficient field, an irreducible representation of a finite p-group can be assigned a Roquette p-group, called the genotype. This has already been done by Bouc and Kronstein in the special cases Q and C. A genetic invariant of an irrep is invariant under group isomorphism, change of coefficient field, Galois conjugation, and under suitable inductions from subquotients. It turns out that the genetic invariants are precisely the invariants of the genotype. We shall examine relationships between some genetic invariants and the genotype. As an application, we shall count Galois conjugacy classes of certain kinds of irreps. © 2006 Elsevier Inc. All rights reserved.

Cite

CITATION STYLE

APA

Barker, L. (2006). Genotypes of irreducible representations of finite p-groups. Journal of Algebra, 306(2), 655–681. https://doi.org/10.1016/j.jalgebra.2006.05.031

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free