Title of article :
Probability of Normality of Chains in Finite Groups
Author/Authors :
Sajedi ، Mostafa Department of Mathematics - Islamic Azad University, Mashhad Branch , Rajabzadeh Moghaddam ، Mohammad Reza Department of Mathematics - Khayyam University , Darabi ، Hamid Department of Mathematics - Esfarayen University of Technology
Abstract :
In this paper we introduce the concept of probability of normality of chains in finite groups. For any normal subgroup N of a finite group G, the relation between the probability of normality of chains of G and of its factor group G/N are obtained. Finally, we give explicit formulas for such probability of dihedral groups D2n, quasi-dihedral groups QD2n , generalized quaternion groups Q2n , and the modular p-groups Mpn .
Keywords :
Probability of normality , Dihedral groups , Generalized quaternion groups , Modular p , groups
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)
