I would appreciate if someone could prove this for me:
Let G be a dihedral group of order 2n and suppose H is a cyclic quotient group of G. Show that |H|is less than or equal 2.
I would appreciate if someone could prove this for me:
Let G be a dihedral group of order 2n and suppose H is a cyclic quotient group of G. Show that |H|is less than or equal 2.
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Hints:
1) What are the only cyclic dihedral groups ?
2) Show that a quotient group of a dihedral group is again a dihedral group.