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# Finite Groups Generated by Involutions on Lagrangian Planes of $\mathbf{C}^2$

Published:2001-12-01
Printed: Dec 2001
• E. Falbel
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## Abstract

We classify finite subgroups of $\SO(4)$ generated by anti-unitary involutions. They correspond to involutions fixing pointwise a Lagrangian plane. Explicit descriptions of the finite groups and the configurations of Lagrangian planes are obtained.
 MSC Classifications: 22E40 - Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 53D99 - None of the above, but in this section