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arXiv · 1205.3207

On the Structure of Involutions and Symmetric Spaces of Dihedral Groups

Katrina K. A. Cunningham·Tom J. Edgar·Aloysius G. Helminck·Benjamin F. Jones·Hyunju Oh·Rachel Schwell·Jennifer F. Vasquez
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Abstract

We initiate the study of analogues of symmetric spaces for the family of finite dihedral groups. In particular, we investigate the structure of the automorphism group, characterize the involutions of the automorphism group, and determine the fixed-group and symmetric space of each automorphism.

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Katrina K. A. Cunningham, Tom J. Edgar, Aloysius G. Helminck, Benjamin F. Jones, Hyunju Oh, Rachel Schwell, Jennifer F. Vasquez. 2012-05-14. On the Structure of Involutions and Symmetric Spaces of Dihedral Groups. https://doi.org/10.1285/i15900932v34n2p23

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