Recognition of the direct products of Suzuki groups by their complex group algebras

Document Type : Research Paper

Authors

1 Department of Mathematics , Faculty of Science, University of Jiroft, Jiroft, Iran

2 Department of Mathematics, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran

Abstract

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.

Keywords

References

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Journal of Mahani Mathematical Research
Volume 12, Issue 1 - Serial Number 24
January 2023
Pages 127-135

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History

  • Receive Date: 24 March 2022
  • Revise Date: 21 May 2022
  • Accept Date: 11 June 2022

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