Recognition of the direct products of Suzuki groups by their complex group algebras
oleh: Hamideh Rashidi, Laleh Oftadeh
| Format: | Article |
|---|---|
| Diterbitkan: | Shahid Bahonar University of Kerman 2023-01-01 |
Deskripsi
Denote by $\widehat{p_n}$, the largest prime among the primitive prime divisors of $ 2^{2n+1}-1 $ and $ 2^{2(4n+2)}-1 $, where $n\in {\Bbb N}$. In this paper, we prove that if $ q=2^{2n+1}\geq8 $ and $\alpha \leq \widehat{p_n}$, then the direct product of $ \alpha $ copies of $ {\rm Sz}(q)$ is uniquely determined by its complex group algebra.