Commentarii Mathematici Helvetici

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Volume 84, Issue 4, 2009, pp. 909–928
DOI: 10.4171/CMH/185

Published online: 2009-12-23

Stable classical groups and strongly torsion generated groups

A. J. Berrick[1] and M. Matthey[2]

(1) National University of Singapore, Singapore
(2) EPFL, Lausanne, Switzerland

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

Keywords: Braid group, free group automorphisms, integral orthogonal group, integral symplectic group, mapping class group, stable general linear group, Steinberg group, strongly torsion generated group

Berrick A., Matthey M.: Stable classical groups and strongly torsion generated groups. Comment. Math. Helv. 84 (2009), 909-928. doi: 10.4171/CMH/185