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Maximal subgroups of the Hall-Janko-Wales group

✍ Scribed by L Finkelstein; A Rudvalis


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
441 KB
Volume
24
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Maximal Subgroups of Symmetric Groups
✍ Martin W. Liebeck; Aner Shalev πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 348 KB

We show that S n has at most n 6Γ‚11+o(1) conjugacy classes of primitive maximal subgroups. This improves an n c log 3 n bound given by Babai. We conclude that the number of conjugacy classes of maximal subgroups of S n is of the form ( 12 +o(1))n. It also follows that, for large n, S n has less than

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.