JournalscmhVol. 84, No. 4pp. 909–928

Stable classical groups and strongly torsion generated groups

  • A. J. Berrick

    National University of Singapore, Singapore
  • M. Matthey

    EPFL, Lausanne, Switzerland
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Abstract

Strongly torsion generated groups are those with a single normal generator, of arbitrary finite order. They are useful for realizing sequences of abelian groups as homology groups. Known examples include stable alternating groups and stable groups generated by elementary matrices. Here the class of such groups is extended, by consideration of other stable classical groups, including orthogonal and symplectic groups. Discussion of other

Cite this article

A. J. Berrick, M. Matthey, Stable classical groups and strongly torsion generated groups. Comment. Math. Helv. 84 (2009), no. 4, pp. 909–928

DOI 10.4171/CMH/185