We extend the results of [G.R. Robinson, More on bounds on norms of generalized characters with applications to p-local bounds and blocks, Bull. London Math. Soc. 37 (4) (2005) 555-565] to a general finite nilpotent group, rather than a p-group. This enables us to obtain bounds on the number of complex irreducible characters of a finite group G which do not vanish identically on all non-identity elements of a nilpotent subgroup N. (c) 2006 Elsevier Inc. All rights reserved.
|Number of pages||6|
|Journal||Journal of Algebra|
|Early online date||11 May 2006|
|Publication status||Published - 15 Feb 2007|