On quantitative structure of symplectic groups
The main aim of this article is to study the quantitative structure of projective symplectic groups $PSp_{4}(q)$ with $q>2$ even. Indeed, we prove that the groups $PSp_{4}(q)$ with $q>2$ even are uniquely determined by their orders and the set of the number of elements of the same order. This...
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Zusammenfassung: | The main aim of this article is to study the quantitative structure of
projective symplectic groups $PSp_{4}(q)$ with $q>2$ even. Indeed, we prove
that the groups $PSp_{4}(q)$ with $q>2$ 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. |
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DOI: | 10.48550/arxiv.2208.13263 |