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
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.
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*
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