15 citations · 17 across the 11 of their papers we have counts for
5 papers · 1 filter
Projective indecomposable permutation modules
Gunter Malle, Geoffrey R. Robinson
We investigate finite non-Abelian simple groups for which the projective cover of the trivial module coincides with the permutation module on a subgroup and classify all cases…
Defect zero characters predicted by local structure
Gunter Malle, Gabriel Navarro, Geoffrey R. Robinson
Let be a finite group and let be a prime. Assume that there exists a prime dividing which does not divide the order of any -local subgroup of . If is $p…
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…
Lifting a 5-dimensional representation of to a complex unitary representation of a certain amalgam
Geoffrey R. Robinson
We lift the -dimensional characteristic representation of to a complex representation of the amalgam , and consider its reduction (mod $p…
Irreducible characters taking root of unity values on p-singular elements
Gabriel Navarro, Geoffrey R. Robinson
In this paper we study finite p-solvable groups having irreducible complex characters chi in Irr(G) which take roots of unity values on the p-singular elements of G.