On involutions and generalized symmetric spaces of dicyclic groups

Abstract

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

Cited by in corpus (1)

• On the Structure of Involutions and Symmetric Spaces of Quasi Dihedral Group