Inequalities for finite group permutation modules
| dc.creator | Goldstein, Daniel | |
| dc.creator | Guralnick, Robert M. | |
| dc.creator | Isaacs, I. M. | |
| dc.date | 2003-10-11 | |
| dc.date.accessioned | 2026-07-07T05:01:49Z | |
| dc.date.available | 2026-07-07T05:01:49Z | |
| dc.description | If f is a nonzero complex-valued function defined on a finite abelian group A and \hat f is its Fourier transform, then |Supp (f)||Supp {\hat f)| \ge |A|, where Supp (f) and Supp (\hat f) are the supports of f and \hat f. In this paper we generalize this known result in several directions. In particular, we prove an analogous inequality where the abelian group A is replaced by a transitive right G-set, where G is an arbitrary finite group. We obtain stronger inequalities when the G-set is primitive and we determine the primitive groups for which equality holds. We also explore connections between inequalities of this type and a result of Chebotarëv on complex roots of unity, and we thereby obtain a new proof of Chebotarëv's theorem. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310169 | |
| dc.identifier | http://arxiv.org/abs/math/0310169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68821 | |
| dc.subject | Group Theory | |
| dc.subject | 20B99, 20B15 | |
| dc.title | Inequalities for finite group permutation modules | |
| dc.type | text |