Abstract
Let $2^{n}+1 \gt 5$ be a prime number. In this article, we will show $G\cong C_{n}(2)$ if and only if $|G|=|C_{n}(2)|$ and $G$ has a conjugacy class length ${|C_{n}(2)|}/({2^{n}+1})$. Furthermore, we will show Thompson's conjecture is valid under a weak condition for the symplectic groups $C_{n}(2)$.
Citation
Alireza Khalili ASBOEI. Mohammad Reza DARAFSHEH. Reza MOHAMMADYARI. "The influence of order and conjugacy class length on the structure of finite groups." Hokkaido Math. J. 47 (1) 25 - 32, February 2018. https://doi.org/10.14492/hokmj/1520928059
Information
