activity
20102026
most citedInductive McKay Condition in defining Characteristic

41 citations · 43 across the 4 of their papers we have counts for

collaborators

6 papers

math.GR2026

Representation growth of quasi-semisimple profinite groups

Benjamin Klopsch, Margherita Piccolo, Britta Späth

The representation zeta function of a profinite group encodes the distribution of continuous irreducible complex representations of as a function of the dimension. Its absc…

math.RT2024

The McKay Conjecture on character degrees

Marc Cabanes, Britta Späth

We prove that for any prime , any finite group has as many irreducible complex characters of degree prime to as the normalizers of its Sylow -subgroups. This equ…

math.RT2019

Descent equalities and the inductive McKay condition for types B and E

Marc Cabanes, Britta Späth

We establish the inductive McKay condition introduced by Isaacs-Malle-Navarro \cite{IMN} for finite simple groups of Lie types $\tB_l$ (), $\tE_6$, $^2\tE_6$ and $\tE_7$,…

math.RT2019★ 2 cited

On the Alperin-McKay conjecture for simple groups of type

Julian Brough, Britta Späth

In this paper characters of the normaliser of -split Levi subgroups in and are parametrized with a particular focus on the Clifford theor…

math.RT2015

Characters of odd degree

Gunter Malle, Britta Späth

We prove the McKay conjecture on characters of odd degree. A major step in the proof is the verification of the inductive McKay condition for groups of Lie type and primes s…

math.RT2010★ 41 cited

Inductive McKay Condition in defining Characteristic

Britta Späth

We reformulate the inductive McKay condition, from Isaacs-Malle-Navarro, and apply the new criterion to simple groups of Lie type, when the prime is the defining characteristic p.…