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Bijective maps on standard Borel subgroup of symplectic group preserving commutators |
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| Authors: | Shikun Ou |
| Institution: | Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, 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)]. |
| Keywords: | Preserver map map preserver commutators matrix group |
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