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Conjugacy classes of symmetries in orthogonal groups

Author(s): Donald G. James
Journal: Proc. Amer. Math. Soc. 125 (1997), 747-753.
MSC (1991): Primary 11E57, 11F06, 20G30
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Abstract: The number of conjugacy classes of symmetries in the integral orthogonal group of an indefinite $\Bbb Z$-lattice is determined. The results are applied to the extended Bianchi groups.

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Additional Information:

Donald G. James
Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
Email: james@math.psu.edu

DOI: 10.1090/S0002-9939-97-04005-7
PII: S 0002-9939(97)04005-7
Received by editor(s): October 18, 1995
Additional Notes: The author was supported by NSA grant MDA904-94-H-2034 and NSF grant DMS-95-00533.
Communicated by: Ronald M. Solomon
Copyright of article: Copyright 1997, American Mathematical Society

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