Table of Contents

1: Path components and the fundamental group
2: Cellular homology
3: Cohomology of groups
4: Cohomological group theory
5: Cohomology of homotopy 2-types
6: Explicit classifying spaces

About the Author

Graham Ellis received his PhD from the University of Wales, Bangor, in 1984 and has taught at the National University of Ireland, Galway since 1987. He is the Established Professor of Mathematics at Galway. He has published research articles on computational algebra, group theory and low-dimensional topology.

Reviews

It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples designed to develop problem solving techniques.
*Graham Ellis, Mathematical Reviews*

The book is well equipped with exercises...providing a widespread of approaches to the material in the book.this book is definitely one I appreciate having read, and one that I can see myself recommending to students who already wish to go into something related to group theory.
*Mikael Vejdemo-Johansson, Assistant Professor of Data Science at CUNY College of Staten Island, Mathematical Association of America*