Probability of normality of chains in finite groups

Authors

  • Mostafa Sajedi "Mashhad Branch, Islamic Azad University"
  • Mohammad Reza Rajabzadeh Moghaddam Khayyam University
  • Hamid Darabi "Esfarayen University of Technology"

Keywords:

Probability of normality, Dihedral groups, Generalized quaternion groups, Modular p-groups.

Abstract

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 D_2n, quasi-dihedral groups QD_2n, generalized quaternion groups Q_2n, and the modular p-groups M_p^n.

Author Biographies

Mostafa Sajedi, "Mashhad Branch, Islamic Azad University"

Department of Mathematics

Mohammad Reza Rajabzadeh Moghaddam, Khayyam University

Mathematics, Full Professor

Hamid Darabi, "Esfarayen University of Technology"

Department of Mathematics and Assistant Professor

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Published

2023-02-24

Issue

Vol. 17

Section

Vol. 17, No. 4, (2023)

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