Lie algebras and 3-transpositions
Group Theory
2016-07-18 v1 Combinatorics
Rings and Algebras
Abstract
We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group in the group .
Cite
@article{arxiv.1104.0536,
title = {Lie algebras and 3-transpositions},
author = {H. Cuypers and M. Horn and J. in 't panhuis and S. Shpectorov},
journal= {arXiv preprint arXiv:1104.0536},
year = {2016}
}
Comments
23 pages