The Combinatorial Topology of Groups

2009/02/23 by Everitt, Brent
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0902.3912

Abstract

This is the first installment of a book on combinatorial and geometric group theory from the topological point of view. This is a classical subject. The installment contains Chapters 1, 3 and 4, and there are nine chapters in total: 1. Combinatorial Complexes 2. Topological Invariants 3. Coverings 4. Galois Theory 5. Generators and Relations 6. The Topological Dictionary 7. Amalgams 8. The Arboreal Dictionary 9. Ends.

Related

• Toric Topology. Chapter 1: Geometry and combinatorics of polytopes
• Trends in Topological Combinatorics
• Toric Topology. Chapter 2: Combinatorial structures
• An elementary illustrated introduction to simplicial sets
• Graphs, permutations and topological groups