Hulpke A., Monks K., Ziliak E. Abstract Algebra in GAP

Fort Collins, CO: Colorado State University, 2011. — 178 p.This book aims to give an introduction to using GAP with material appropriate for an undergraduate abstract algebra course. It does not even attempt to provide an introduction to abstract algebra — many excellent books do this. Instead, it is aimed at the instructor of an introductory algebra course, who wants to incorporate the use of GAP into this course as a calculatory aid to exploration. Most of this book is written in a style suitable for student handouts. (However sometimes explanation of the behavior of the system requires mathematics beyond an introductory course, and some sections are aimed primarily at the instructor as an aid in setting up examples and problems.) Instructors are welcome to copy the respective book pages or to create their handouts based on the Source of this book. Each chapter ends with a section containing problems that are suitable for use in class, together with solutions of the GAP-relevant parts. I am grateful to Kenneth Monks and Ellen Ziliak for preparing these solutions.