Space form isometries as commutators and products of involutions

DOI10.1090/S0002-9947-2012-05639-XzbMath1272.30061OpenAlexW2094131489MaRDI QIDQ2841378

Ara Basmajian, Bernard Maskit

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05639-x

zbMATH Keywords

hyperbolic \(n\)-spacecommutator lengthhyperbolic isometries

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items

Decomposition of complex hyperbolic isometries by involutions, Thrice-punctured sphere groups in hyperbolic 4-space, Word equations in simple groups and polynomial equations in simple algebras., Reversible quaternionic hyperbolic isometries, Unnamed Item, Reality of unipotent elements in classical Lie groups, The length of \(\operatorname{PU}(2, 1)\) relative to special elliptic isometries with fixed parameter, Ideal right-angled pentagons in hyperbolic 4-space, Generating the Möbius group with involution conjugacy classes

Cites Work

• Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
• Commutators in the Special and General Linear Groups
• Commutators in a Semi-Simple Lie Group
• Commutators in Semi-Simple Algebraic Groups
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