@article {
author = {Sepehrizadeh, Z. and Rismanchian, M. R.},
title = {ON THE CHARACTERISTIC DEGREE OF FINITE GROUPS},
journal = {Journal of Algebraic Systems},
volume = {6},
number = {1},
pages = {71-80},
year = {2018},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2018.6328.1316},
abstract = {In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic in G. We determine the upper and lower bounds for this probability. We also obtain a special lower bound, when H is a cyclic p-subgroup of G.},
keywords = {Autocommutativity degree,Characteristic degree,p-group},
url = {https://jas.shahroodut.ac.ir/article_1256.html},
eprint = {https://jas.shahroodut.ac.ir/article_1256_9cb3d15cf6327aa4481ad9fb54223403.pdf}
}