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Majorana representations of L3(2)
-
A. A. Ivanov
and
S. Shpectorov
Published/Copyright:
December 11, 2012
Abstract
We classify the Majorana representations of the simple group L3(2). It turns out that, subject to the so-called (2A)-condition, this group possesses precisely two Majorana representations. The dimensions of these representations are 21 and 49, and both representations are based on the embeddings of L3(2) into the Monster as 2A-generated subgroups.
Published Online: 2012-12-11
Published in Print: 2012-10
© 2012 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Barycenters in Alexandrov spaces of curvature bounded below
- Isoperimetric problems in sectors with density
- Around A. D. Alexandrov’s uniqueness theorem for convex polytopes
- A relative isoperimetric inequality for certain warped product spaces
- Markov’s inequality in the o-minimal structure of convergent generalized power series
- Minimal area conics in the elliptic plane
- Geometry of semi-tube domains in ℂ2
- Flag transitive c:F4(2)-geometries
- Majorana representations of L3(2)
- A characterization of multiple (n – k)-blocking sets in projective spaces of square order
