English

On quantitative structure of symplectic groups

Group Theory 2022-09-02 v2

Abstract

The main aim of this article is to study the quantitative structure of projective symplectic groups PSp4(q)PSp_{4}(q) with q>2q>2 even. Indeed, we prove that the groups PSp4(q)PSp_{4}(q) with q>2q>2 even are uniquely determined by their orders and the set of the number of elements of the same order. This result links to the well-known J. G. Thompson's problem (1987) for finite simple groups.

Keywords

Cite

@article{arxiv.2208.13263,
  title  = {On quantitative structure of symplectic groups},
  author = {Seyed Hassan Alavi and Ashraf Daneshkhah and Hosein Parvizi Mosaed},
  journal= {arXiv preprint arXiv:2208.13263},
  year   = {2022}
}
R2 v1 2026-06-25T02:02:23.596Z