Lie algebras and 3-transpositions

H. Cuypers, J. in 't panhuis, M. Horn, S. Shpectorov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 Fi in the group E62(2).
Original languageEnglish
Pages (from-to)21-39
Number of pages19
JournalJournal of Algebra
Publication statusPublished - 15 Oct 2012


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