Normality degrees of finite groups

Abstract

In this paper we introduce and study the concept of normality degree of a finite group $G$. This quantity measures the probability of a random subgroup of $G$ to be normal. Explicit formulas are obtained for some particular classes of finite groups. Several limits of normality degrees are also computed.

Cited by in corpus (2)

• Cyclicity degrees of finite groups
• Considerations on the subgroup commutativity degree and related notions