A quasi Curtis–Tits–Phan theorem for the symplectic group

R Blok, Corneliu Hoffman

Research output: Contribution to journalArticle

3 Citations (Scopus)


We obtain the symplectic group Sp(V) as the universal completion of an amalgam of low rank subgroups akin to Levi components. We let Sp(V) act flag-transitively on the geometry of maximal rank subspaces of V. We show that this geometry and its rank >= 3 residues are simply connected with few exceptions. The main exceptional residue is described in some detail. The amalgamation result is then obtained by applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups. (C) 2007 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)4662-4691
Number of pages30
JournalJournal of Algebra
Issue number11
Publication statusPublished - 1 Jun 2008


  • amalgam
  • Tits' lemma
  • opposite
  • simply connected
  • symplectic group


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