On Sums of Degrees of Irreducible Characters
نویسندگان
چکیده
منابع مشابه
On Degrees of Irreducible Brauer Characters
Based on a large amount of examples, which we have checked so far, we conjecture that |G|p′ ≤ ∑ φ φ(1) 2 where p is a prime and the sum runs through the set of irreducible Brauer characters in characteristic p of the finite group G. We prove the conjecture simultaneously for p-solvable groups and groups of Lie type in the defining characteristic. In non-defining characteristics we give asymptot...
متن کاملOn the irreducible characters of Camina triples
The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N) and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.
متن کاملBounds for Degrees and Sums of Degrees of Irreducible Characters of Some Classical Groups over Finite Fields
The goal of this note (which is incorporated and expanded in Chapter 5 of the author’s book “The large sieve and its applications” ) is to bound from above in a suitable manner the degree of irreducible representations, and the sum of the degrees of irreducible representations, of a group G`, which in applications is either between SL(r,F`) and GL(r,F`), or between Sp(2g,F`) and CSp(2g,F`). Mor...
متن کاملSome connections between powers of conjugacy classes and degrees of irreducible characters in solvable groups
Let $G$ be a finite group. We say that the derived covering number of $G$ is finite if and only if there exists a positive integer $n$ such that $C^n=G'$ for all non-central conjugacy classes $C$ of $G$. In this paper we characterize solvable groups $G$ in which the derived covering number is finite.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7180