• A Note on Conjugacy Classes of Finite Groups

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/01/0031-0036

• # Keywords

Conjugacy class; rational group.

• # Abstract

Let 𝐺 be a finite group and let $x^G$ denote the conjugacy class of an element 𝑥 of 𝐺. We classify all finite groups 𝐺 in the following three cases: (i) Each non-trivial conjugacy class of 𝐺 together with the identity element 1 is a subgroup of 𝐺, (ii) union of any two distinct non-trivial conjugacy classes of 𝐺 together with 1 is a subgroup of 𝐺, and (iii) union of any three distinct non-trivial conjugacy classes of 𝐺 together with 1 is a subgroup of 𝐺.

• # Author Affiliations

1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019