TY - JOUR
T1 - Irreducible p-constant characters of finite reflection groups
AU - Pellegrini, Marco Antonio
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Characters
KW - Characters
UR - http://hdl.handle.net/10807/105327
UR - http://www.degruyter.com/view/j/jgth?rskey=on96ob&result=1&q=journal of group theory
U2 - 10.1515/jgth-2016-0059
DO - 10.1515/jgth-2016-0059
M3 - Article
SN - 1433-5883
VL - 20
SP - 911
EP - 923
JO - Journal of Group Theory
JF - Journal of Group Theory
ER -