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math.RT2025
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…
math.RT2010★ 14 cited
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…
math.RT2009
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…