Conjugacy classes of symmetries in orthogonal groups

James, Donald

doi:10.1090/S0002-9939-97-04005-7

Conjugacy classes of symmetries in orthogonal groups
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Proc. Amer. Math. Soc. 125 (1997), 747-753 Request permission

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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