6 citations · 14 across the 13 of their papers we have counts for
15 papers
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…
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…
The Alperin Weight Conjecture and the Glauberman correspondence via character triples
J. Miquel Martínez, N. Rizo, D. Rossi
Recently, G. Navarro introduced a new conjecture that unifies the Alperin Weight Conjecture and the Glauberman correspondence into a single statement. In this paper, we reduce this…
The simplicial complex of Brauer pairs of a finite reductive group
Damiano Rossi
In this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic ca…
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 defect…
The Brown complex in non-defining characteristic and applications
Damiano Rossi
We study the Brown complex associated to the poset of -subgroups in the case of a finite reductive group defined over a field of characteristic prime to …
A local-global principle for unipotent characters
Damiano Rossi
We obtain an adaptation of Dade's Conjecture and Späth's Character Triple Conjecture to unipotent characters of simple, simply connected finite reductive groups of type , $…
Monomial characters of finite solvable groups
Damiano Rossi
We give new evidences to the fact that the structure of a solvable group can be controlled by irreducible monomial characters. In particular we inspect the role of monomial charact…
Inductive local-global conditions and generalized Harish-Chandra theory
Damiano Rossi
We work towards a version of generalized Harish-Chandra theory compatible with Clifford theory and with the action of automorphisms on irreducible characters. This provides a funda…
The McKay Conjecture and central isomorphic character triples
Damiano Rossi
We refine the reduction theorem of the McKay Conjecture proved by Isaacs, Malle and Navarro. Assuming the inductive McKay condition, we obtain a strong version of the McKay Conject…
Degree divisibility in Alperin-McKay correspondences
J. Miquel Martìnez, Damiano Rossi
Let 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…
Counting conjectures and -local structures in finite reductive groups
Damiano Rossi
We prove new results in generalized Harish-Chandra theory providing a description of the so-called Brauer--Lusztig blocks in terms of the information encoded in the -adic coh…
Restrictions of characters in p-solvable groups
Damiano Rossi, Benjamin Sambale
Let G be a p-solvable group, P a p-subgroup and chi in Irr(G) such that chi(1)_p \ge |G:P|_p. We prove that the restriction chi_P is a sum of characters induced from subgroups Q\le…
Character Triple Conjecture for -Solvable Groups
Damiano Rossi
In this paper, we prove Späth's Character Triple Conjecture for -solvable groups. This is a conjecture proposed by Späth during the reduction process of Dade's Projective Conjec…