Symplectic cyclic group actions on homotopy E(n) surfaces

Abstract

Let $G=Z_p$ be a symplectic cyclic group action of prime order p on the homotopy $E(n)$ surface $X$. We study the existence of homologically trivial, pseudofree actions $Z_{17}$ and $Z_{19}$ on $X$. If the actions exist, we give the concrete structure of the fixed-point sets and realize the fixed-point data by locally linear, pseudofree actions on $X$.