99 citations · 258 across the 56 of their papers we have counts for
7 papers · 1 filter
Local-global conjectures in the representation theory of finite groups
Gunter Malle
We give a survey of recent developments in the investigation of the various local-global conjectures for representations of finite groups.
On the number of simple modules in a block of a finite group
Gunter Malle, Geoffrey R. Robinson
We prove that if is a -block with non-trivial defect group of a finite -solvable group , then , where is the sectional rank of . We remark th…
Brauer's height zero conjecture for quasi-simple goups
Radha Kessar, Gunter Malle
We show that Brauer's height zero conjecture holds for blocks of finite quasi-simple groups. This result is used in Navarro-Späth's reduction of this conjecture for general groups…
On Blocks with One Modular Character
Gunter Malle, Gabriel Navarro, Britta Späth
Suppose that is a Brauer -block of a finite group with a unique modular character . We prove that is liftable to an ordinary character of (which moreover is $…
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…
Lusztig induction and -blocks of finite reductive groups
Radha Kessar, Gunter Malle
We present a unified parametrisation of -blocks of quasi-simple finite groups of Lie type in non-defining characteristic via Lusztig's induction functor in terms of -Jorda…