14 citations · 15 across the 4 of their papers we have counts for
4 papers
A generalized character related to the local structure and representation theory of a finite group
Geoffrey R. Robinson
We consider the generalized character of a finite group which vanishes on all -singular elements of and whose value at each -regular is the numb…
A group-theoretic condition equivalent to a condition on principal blocks
Geoffrey R. Robinson
In this note, we give a group-theoretic condition which is equivalent to the fact that the trivial character is the only complex irreducible character of a finite group G which is…
On simple endotrivial modules
Geoffrey R. Robinson
We show that when G is a finite group which contains an elementary Abelian subgroup of order p^2 and k is an algebraically closed field of characteristic p, then the study of simpl…
On the minimal norm of a non-regular generalized character of an arbitrary finite group
Geoffrey R. Robinson
We prove that for any finite group G, the sum across non-identity elements of the squared absolute value of any generalized character of G which does not vanish on all non-identity…