On the Structure of Involutions and Symmetric Spaces of Dihedral Groups

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

arxiv: 1205.3207 · v1 · pith:GF2JVKHLnew · submitted 2012-05-14 · 🧮 math.GR

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 This is my paper

classification 🧮 math.GR

keywords automorphismsymmetricdihedralgroupgroupsinvolutionsspacesstructure

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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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On the Structure of Involutions and Symmetric Spaces of Dihedral Groups

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