6 citations · 14 across the 13 of their papers we have counts for
5 papers · 2 filters
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…