On involutions and generalized symmetric spaces of dicyclic groups

الأصل · EN

Let G=ₙ be the dicyclic group of order 4n. Let φ be an automorphism of G of order k. We describe φ and the generalized symmetric space Q of G associated with φ. When φ is an involution, we describe its fixed point group H=Gφ along with the H-orbits and G-orbits of Q corresponding to the action of φ-twisted conjugation.