The book Differentiable Periodic Maps by Conner and Floyd is a classic reference. Despite its age, the book is very easy to understand and gives clear expositions of some important topics which are difficult to find elsewhere (such as the bordism spectral sequence and characteristic numbers of maps). As the title suggests, the latter part of the book is about the authors' research on bordism of smooth $\mathbb{Z}/p$ actions, which might be a good place to go after you cover the first two chapters.

The book Differentiable Periodic Maps by Conner and Floyd is a classic reference. Despite its age, the book is very easy to understand and gives clear expositions of some important topics which are difficult to find elsewhere (such as the bordism spectral sequence and characteristic numbers of maps). As the title suggests, the latter part of the book is about the authors' research on bordism of smooth $\mathbb{Z}/p$ actions, which might be a good place to go after you cover the first two chapters.