Involution and commutator length for complex hyperbolic isometries

preprint2016arXivOpen access

Abstract

We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all n⩾3n \geqslant 3 PU(nn,1) has involution length at most 8.

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