G
Gabriel Navarro
Researcher at University of Valencia
Publications - 311
Citations - 4051
Gabriel Navarro is an academic researcher from University of Valencia. The author has contributed to research in topics: Finite group & Character (mathematics). The author has an hindex of 25, co-authored 271 publications receiving 3284 citations. Previous affiliations of Gabriel Navarro include University of Zaragoza & University of Wisconsin-Madison.
Papers
More filters
BookDOI
Character Theory of Finite Groups
Abstract: 1. (i) Suppose K is a conjugacy class of Sn contained in An; then K is called split if K is a union of two conjugacy classes of An. Show that the number of split conjugacy classes contained in An is equal to the number of characters χ ∈ Irr(Sn) such that χAn is not irreducible. (Hint. Consider the vector space of class functions on An which are invariant under conjugation by the transposition (12).)
MonographDOI
Characters and blocks of finite groups
TL;DR: In this paper, a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint is presented. But the authors focus on the character theory of groups with a Sylow p-subgroup of order p.
Journal ArticleDOI
A reduction theorem for the McKay conjecture
TL;DR: In this article, the McKay conjecture was reduced to a question about simple groups, and a list of conditions that all simple groups will satisfy was given, and it was shown that for a finite group G if every simple group involved in G satisfies these conditions, it holds (for all primes p) for every finite group having an abelian Sylow 2-subgroup.
Journal ArticleDOI
The McKay conjecture and Galois automorphisms
TL;DR: In this article, a Galois automorphism is proposed to deal with the problem of proving the existence of global invariants of a finite group G of degree not divisible by p. The same idea can be applied to the celebrated Alperin and Dade conjectures.
Book
Character Theory and the McKay Conjecture
TL;DR: In this article, the authors give a comprehensive introduction to counting conjectures in finite groups, assuming minimal background knowledge, and show that if all simple groups satisfy the inductive McKay condition, then the McKay conjecture is true.