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askfilo.com
Find the center of the dihedral group D_3... | Filo
Find the center of the dihedral group D_3... | Filo
3 months ago
Dihedral Group Examples
SOLVED:Let the dihedral group Dn be given by elements a of order n and b of order 2, where b a=a^-1 b (a) Show that a^m is conjugate to only itself and a^-m, and that a^m b is conjugate to a^m 2 k b, for any integer k (b) Write out the class equation for the dihedral group Dn . Note that you will need two cases: one when n is even, and one when n is odd.
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