A note on Friendly and Solitary Groups

Authors : Shubham MITTAL, Gaurav MITTAL, R K SHARMA

Pages : 197-206

Doi:10.24330/ieja.1260499

View : 51 | Download : 67

Publication Date : 2023-07-10

Article Type : Research Paper

Abstract :In this paper, we extend the notions of friendly and solitary numbers to group theory and define friendly and solitary groups of type-1 and type-2. We provide many examples of friendly and solitary groups and study certain properties of the type-2 friends of cyclic $p$-groups, where $p$ is a prime number.
Keywords : Group, p group, number theory