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A note on the isometry group of the hyperbolic plane

✍ Scribed by Martin Moskowitz


Book ID
120722425
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
105 KB
Volume
54
Category
Article
ISSN
0138-4821

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Reflection Groups on the Octave Hyperbol
✍ Daniel Allcock πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 223 KB

For two different integral forms K of the exceptional Jordan algebra we show that Aut K is generated by octave reflections. These provide ''geometric'' examples Ε½ . of discrete reflection groups acting with finite covolume on the octave or Cayley 2 Ε½ hyperbolic plane ‫ޏ‬H , the exceptional rank one