Lie algebras and 3-transpositions

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

Research output: Book/ReportReportAcademic


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
Number of pages23
Publication statusPublished - 2011

Publication series [math.GR]

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    Cuypers, H., Horn, M. A. S., Panhuis, in 't, J. C. H. W., & Shpectorov, S. V. (2011). Lie algebras and 3-transpositions. ( [math.GR]; Vol. 1104.0536). s.n.