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 ϕ: $\mathbb{G}$ → $\mathbb{G}$ satisfying ϕ[x, y] = [ϕ(x), ϕ(y)].

Keywords

Preserver map / map preserver commutators / matrix group

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