Two-Element Generation of the Integral Symplectic GroupSpn(image) Original Research Article

LetSpn(image) be the symplectic group on a hyperbolic moduleVof even ranknover the rational integers image. Ifn>2 then any element ofSpn(image) is a product of finite number of involutions onV, andSpn(image) is generated by two elements of small order, one of which is an involution.