4 papers · 1 filter
The Isaacs-Navarro-Wolf conjecture
Damiano Rossi
The Isaacs--Navarro--Wolf conjecture states that if is a finite solvable group and is an element of such that does not vanish for all irreducible characters …
Webb's conjecture and generalised Harish-Chandra theory
Damiano Rossi
Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime is contractible. This conjecture was proved by Symonds in 1998. In th…
The Character Triple Conjecture for maximal defect characters and the prime 2
Damiano Rossi
We prove that Späth's Character Triple Conjecture holds for every finite group with respect to maximal defect characters at the prime 2. This is done by reducing the maximal defec…
A reduction theorem for the Character Triple Conjecture
Damiano Rossi
In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi-simple groups. This answers the question on the existence of a se…