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EnglishA complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters.
Pellegrini, M. A., Irreducible p-constant characters of finite reflection groups, <<JOURNAL OF GROUP THEORY>>, 2017; 20 (5): 911-923. [doi:10.1515/jgth-2016-0059] [http://hdl.handle.net/10807/105327]
| Autori: | ||
| Titolo: | Irreducible p-constant characters of finite reflection groups | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1515/jgth-2016-0059 | |
| URL: | http://www.degruyter.com/view/j/jgth?rskey=On96OB&result=1&q=Journal of Group Theory | |
| Data di pubblicazione: | 2017 | |
| Abstract: | A complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters. | |
| Lingua: | Inglese | |
| Rivista: | ||
| Citazione: | Pellegrini, M. A., Irreducible p-constant characters of finite reflection groups, <<JOURNAL OF GROUP THEORY>>, 2017; 20 (5): 911-923. [doi:10.1515/jgth-2016-0059] [http://hdl.handle.net/10807/105327] | |
| Altre informazioni significative: | This work was supported by the “National Group for Algebraic and Geometric Structures, and their Applications” (GNSAGA-INDAM). | |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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