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Characterization of groups of Janko-Ree type and the Hall-Janko group

✍ Scribed by A. P. Kovalenko


Publisher
Springer US
Year
1976
Tongue
English
Weight
283 KB
Volume
15
Category
Article
ISSN
0002-5232

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Hyperbolic Plane Reflections and the Hal
✍ 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.