@article {
author = {Delfani, Mahtab and Behravesh, Houshang},
title = {Groups with Two Extreme Character Degrees and their Minimal Faithful Representations},
journal = {Mathematics Interdisciplinary Research},
volume = {3},
number = {2},
pages = {109-115},
year = {2018},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2019.186347.1133},
abstract = {for a finite group G, we denote by p(G) the minimal degree of faithful permutation representations of G, and denote by c(G), the minimal degree of faithful representation of G by quasi-permutation matrices over the complex field C. In this paper we will assume that, G is a p-group of exponent p and class 2, where p is prime and cd(G) = {1, |G : Z(G)|^1/2}. Then we will show that c(G)≤ |G : Z(G)|^{1/2} c(Z(G)) , p(G) ≤ |G : Z(G)|^{1/2}p(Z(G)):},
keywords = {quasi-permutation,Linear character,Non-linear character},
url = {http://mir.kashanu.ac.ir/article_88262.html},
eprint = {http://mir.kashanu.ac.ir/article_88262_bbea5fc48f8ecb778827001fced83bbd.pdf}
}