Majorana representations of L3(2)

A. A. Ivanov; S. Shpectorov

doi:10.1515/advgeom-2012-0018

Majorana representations of L₃(2)

A. A. Ivanov, S. Shpectorov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We classify the Majorana representations of the simple group L ₃(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.

Original language	English
Pages (from-to)	717-738
Number of pages	22
Journal	Advances in Geometry
Volume	12
Issue number	4
DOIs	https://doi.org/10.1515/advgeom-2012-0018
Publication status	Published - Oct 2012

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1515/advgeom-2012-0018

Cite this

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abstract = "We classify the Majorana representations of the simple group L 3(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.",

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