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Finite Groups Generated by Involutions on Lagrangian Planes of C2

Published online by Cambridge University Press:  20 November 2018

E. Falbel
E. Falbel*
Affiliation:
Institut de Mathématiques Université Pierre et Marie Curie 4, place Jussieu 75252 Paris France, email: [email protected]
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Abstract

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We classify finite subgroups of $\text{SO}\left( 4 \right)$ 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.

Keywords

22E4053D99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 4 , 01 December 2001 , pp. 408 - 419
Copyright
Copyright © Canadian Mathematical Society 2001

References

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