Add to ORKGLet p be a prime, B a p-block of a finite group G and b its Brauer correspondent. According to the Alperin-McKay Conjecture, there exists a bijection between the set of irreducible ordinary characters of height zero of B and those of b. In this paper, we show that whenever G is p-solvable such a bijection can be found, both for ordinary and Brauer characters, with the additional property of being compatible with divisibility of character degrees. In this case, we also show that the dimension of b divides the dimension of B.Comment: A mistake was found in an earlier version. It is corrected in the new version. Moreover, further results are prove
An important result in ordinary character theory is the Ito-Michler theorem, which asserts that a pr...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
For nN, we denote by (n) the set of prime divisors of n. Let G be a finite group. Denote by IBrp(G) ...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
The main problem of representation theory of finite groups is to find proofs of several conjectures ...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
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...
Abstract. Let G be a finite group and let p be an odd prime. Under certain conditions on the p-parts...
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser NG(P) of ...
Let G be a finite group with Sylow 2-subgroup P. Navarro–Tiep–Vallejo have conjectured that the prin...
An important result in ordinary character theory is the Ito-Michler theorem, which asserts that a pr...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
For nN, we denote by (n) the set of prime divisors of n. Let G be a finite group. Denote by IBrp(G) ...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
AbstractRecent results of the author prove the existence of bijections of certain sets of irreducibl...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
The main problem of representation theory of finite groups is to find proofs of several conjectures ...
Let G be a finite solvable or symmetric group, and let B be a 2-block of G. We construct a canonica...
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...
Abstract. Let G be a finite group and let p be an odd prime. Under certain conditions on the p-parts...
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser NG(P) of ...
Let G be a finite group with Sylow 2-subgroup P. Navarro–Tiep–Vallejo have conjectured that the prin...
An important result in ordinary character theory is the Ito-Michler theorem, which asserts that a pr...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
For nN, we denote by (n) the set of prime divisors of n. Let G be a finite group. Denote by IBrp(G) ...