TY - JOUR
ID - 21609
TI - Finite groups with non-trivial intersections of kernels of all but one irreducible characters
JO - International Journal of Group Theory
JA - IJGT
LA - en
SN - 2251-7650
AU - Bianchi, Mariagrazia
AU - Herzog, Marcel
AD - Dipartimento di Matematica quot;Federigo Enriques quot;, Università di Milano
AD - Schoool of Mathematical Sciences,
Tel-Aviv University
Y1 - 2018
PY - 2018
VL - 7
IS - 3
SP - 63
EP - 80
KW - Finite groups
KW - Complex characters
DO - 10.22108/ijgt.2017.21609
N2 - In this paper we consider finite groups $G$ satisfying the following condition: $G$ has two columns in its character table which differ by exactly one entry. It turns out that such groups exist and they are exactly the finite groups with a non-trivial intersection of the kernels of all but one irreducible characters or, equivalently, finite groups with an irreducible character vanishing on all but two conjugacy classes. We investigate such groups and in particular we characterize their subclass, which properly contains all finite groups with non-linear characters of distinct degrees, which were characterized by Berkovich, Chillag and Herzog in 1992.
UR - https://ijgt.ui.ac.ir/article_21609.html
L1 - https://ijgt.ui.ac.ir/article_21609_42a17a94ecfbfa1359519bb03978b0aa.pdf
ER -