@article{ca5795a1b234442687f2b8637775ef2c,
title = "Involution and commutator length for complex hyperbolic isometries",
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 ≥ 3, PU(n, 1) has involution length at most 8.",
author = "Julien Paupert and Pierre Will",
note = "Funding Information: The authors acknowledge support from the NSF (grant DMS 1249147 and grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” — the GEAR network), the Simons Foundation (Collaboration Grant for Mathematicians 318124), and the ANR project SGT.",
year = "2017",
month = nov,
doi = "10.1307/mmj/1501812020",
language = "English (US)",
volume = "66",
pages = "699--744",
journal = "Michigan Mathematical Journal",
issn = "0026-2285",
publisher = "University of Michigan",
number = "4",
}