Probability of normality of chains in finite groups

Mostafa Sajedi, Mohammad Reza Rajabzadeh Moghaddam, Hamid Darabi

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.

Keywords


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

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