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Hyperbolic Plane Reflections and the Hall–Janko Group

✍ Scribed by Kenny Ching

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
193 KB
Volume
223
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

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