Bijective maps on standard Borel subgroup of symplectic group preserving commutators

Abstract

Let F be a field, and let \mathbb{G} be the standard Borel subgroup of the symplectic group Sp(2m, F). In this paper, we characterize the bijective maps \varphi :\mathbb{G}\to \mathbb{G} satisfying \varphi [x,y]=[\varphi (x),\varphi (y)].

Keywords

Preserver map / map preserver commutators / matrix group

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