2 citations · 4 across the 5 of their papers we have counts for
5 papers
On -local structures for -spetses
Damiano Rossi, Jason Semeraro
Let be a prime power, a prime not dividing , and the order of modulo . We show that the geometric realisation of the nerve of the transporter category o…
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 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 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 …