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Bijective maps on standard Borel subgroup of symplectic group preserving commutators
Authors:Shikun Ou
Institution:1.Faculty of Science,Jiangxi University of Science and Technology,Ganzhou,China
Abstract:Let F be a field, and let \mathbbG\mathbb{G} be the standard Borel subgroup of the symplectic group Sp(2m, F). In this paper, we characterize the bijective maps ϕ: \mathbbG\mathbb{G} → \mathbbG\mathbb{G} satisfying ϕx, y] = ϕ(x), ϕ(y)].
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