Fixed points of automorphisms of certain non-cyclic $p$-groups and the dihedral group

Akhtar Abbas, Umar Hayat, Daniel López-Aguayo

Let $G={\mathbf{Z}}_p\oplus {\mathbf{Z}}_{p^2}$, where $p$ is a prime number. Suppose that $d$ is a divisor of the order of $G$. In this paper we find the number of automorphisms of…