Groups with Two Extreme Character Degrees and their Minimal Faithful Representations
نویسندگان
چکیده مقاله:
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)):
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عنوان ژورنال
دوره 3 شماره 2
صفحات 109- 115
تاریخ انتشار 2018-12-01
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