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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…
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…