Lie algebras and 3-transpositions

H. Cuypers, M.A.S. Horn, J.C.H.W. Panhuis, in 't, S.V. Shpectorov

Research output: Contribution to journalArticleAcademicpeer-review

3 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 $Fi_{22}$ in the group $^2E_6(2)$.
Original languageEnglish
Pages (from-to)21-39
JournalJournal of Algebra
Publication statusPublished - 2012


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