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The geometry of the Hall-Janko group as a quaternionic reflection group

✍ Scribed by Robert A. Wilson

Publisher
Springer
Year
1986
Tongue
English
Weight
606 KB
Volume
20
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

Hyperbolic Plane Reflections and the Hal
Hyperbolic Plane Reflections and the Hall–Janko Group
✍ Kenny Ching πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 193 KB

We introduce the notion of a hyperbolic plane reflection in symplectic space over a finite field of characteristic 3 and show that the group 2 HJ, where HJ is the Hall᎐Janko simple group, is generated by a set of 315 hyperbolic plane reflections in symplectic 6-space.