The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Commentarii Mathematici Helvetici


Full-Text PDF (213 KB) | Metadata | Table of Contents | CMH summary
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