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A characterization of the finite projective symplectic groups ๐‘ƒ๐‘†๐‘โ‚„(๐‘ž)

A characterization of the finite projective symplectic groups ๐‘ƒ๐‘†๐‘โ‚„(๐‘ž)

In this paper we present a characterization of the projective symplectic groups PSp4 (q) in dimension 4 over finite fields of odd characteristic, in terms of the structure of the centralizer of an involution.The group PSp4 (q) is simple, of order \q\q2 + l)(q2 -I)2, with a Sylow 2-subgroup whose โ€ฆ