کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587631 1334152 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Strengthening the McKay Conjecture to include local fields and local Schur indices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Strengthening the McKay Conjecture to include local fields and local Schur indices
چکیده انگلیسی

A central problem in the representation theory of finite groups is, given a prime p, the study of relationships between the representations of G and those of p-local subgroups of G. The simplest of these is perhaps the McKay Conjecture, which concerns the number of irreducible characters of degree prime to p. Even though this conjecture remains open, in an effort to understand it, a number of strengthenings of it have been proposed. Recently, Isaacs and Navarro, and later Navarro, have proposed interesting stronger conjectures indicating that congruences modulo p of the degree of the characters, and the invariance under certain type of fixed Galois automorphism could be taken into account as well. We propose an even further strengthening of McKay's Conjecture which takes into account, in addition, the p-local field of definition of the irreducible characters, as well as their p-local Schur indices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 12, 15 June 2008, Pages 4853-4868