Abstract
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.
Original language | English |
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Pages (from-to) | 822-827 |
Number of pages | 6 |
Journal | Journal of Algebra |
Volume | 308 |
Issue number | 2 |
Early online date | 11 May 2006 |
DOIs | |
Publication status | Published - 15 Feb 2007 |