Add to ORKGAn important result in ordinary character theory is the Ito-Michler theorem, which asserts that a prime p does not divide the degree of any irreducible character of a finite group G if and only if G has a normal abelian Sylow p-subgroup. The famous Brauer’s height zero conjecture can be thought as the block version of thi
Let G be an arbitrary nite group and x a prime p. Let S be a Sylow p-subgroup of G. In [19], J. McKa...
The Fong-Swan theorem shows that if ϕ is any irreducible Brauer character of a finite solvable group...
Abstract. We give a brief survey of the role of the height of an irre-ducible character in a block, ...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
Abstract. This paper has two main results. Firstly, we complete the parametrisation of all p-blocks ...
We prove a strengthening of Brauer's height zero conjecture for principal 2-blocks with Galois autom...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
AbstractWe discuss the focal subgroup of the defect group D of a p-block B, which we refer to as the...
In this article, we give some new results on the block with a minimal nonabelian matacyclic defect g...
Let $G $ be a finite group, $p $ a prime, and $O_{p}(G) $ the largest normal p–subgroup of $G $. In ...
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser NG(P) of ...
This thesis addresses some questions about the relationship between the structure of finite groups a...
Let p be a prime, B a p-block of a finite group G and b its Brauer correspondent. According to the A...
We give a brief survey of the role of the height of an irreducible character in a block, and describ...
We present some variations on some of the main open problems on character degrees. We collect some o...
Let G be an arbitrary nite group and x a prime p. Let S be a Sylow p-subgroup of G. In [19], J. McKa...
The Fong-Swan theorem shows that if ϕ is any irreducible Brauer character of a finite solvable group...
Abstract. We give a brief survey of the role of the height of an irre-ducible character in a block, ...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
Abstract. This paper has two main results. Firstly, we complete the parametrisation of all p-blocks ...
We prove a strengthening of Brauer's height zero conjecture for principal 2-blocks with Galois autom...
Let G be a p-solvable group, P ≤ G a p-subgroup and χ ∈ Irr(G) such that χ(1)p ≥ |G : P |p. We prove...
AbstractWe discuss the focal subgroup of the defect group D of a p-block B, which we refer to as the...
In this article, we give some new results on the block with a minimal nonabelian matacyclic defect g...
Let $G $ be a finite group, $p $ a prime, and $O_{p}(G) $ the largest normal p–subgroup of $G $. In ...
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser NG(P) of ...
This thesis addresses some questions about the relationship between the structure of finite groups a...
Let p be a prime, B a p-block of a finite group G and b its Brauer correspondent. According to the A...
We give a brief survey of the role of the height of an irreducible character in a block, and describ...
We present some variations on some of the main open problems on character degrees. We collect some o...
Let G be an arbitrary nite group and x a prime p. Let S be a Sylow p-subgroup of G. In [19], J. McKa...
The Fong-Swan theorem shows that if ϕ is any irreducible Brauer character of a finite solvable group...
Abstract. We give a brief survey of the role of the height of an irre-ducible character in a block, ...