| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4585590 | Journal of Algebra | 2012 | 19 Pages |
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 Fi22 in the group .
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
