Product of two cyclic strictly hyperbolic conjugacy classes covers all nonscalar elements in Sp(2n, K), implying PSp(2n, K) equals the square of a conjugacy class.
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Products of strictly hyperbolic conjugacy classes in symplectic groups
Product of two cyclic strictly hyperbolic conjugacy classes covers all nonscalar elements in Sp(2n, K), implying PSp(2n, K) equals the square of a conjugacy class.