Involution and commutator length for complex hyperbolic isometries
classification
🧮 math.GT
keywords
lengthinvolutioncommutatorcomplexhyperbolicisometriesdecompositionsgeqslant
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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 $n \geqslant 3$ PU($n$,1) has involution length at most 8.
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