Combinatorial Group Theory provides a rigorous and foundational exposition of groups presented through generators and defining relations. Originally developed for graduate students, this classic text bridges the gap between elementary group theory and advanced research. The authors meticulously cover essential concepts, including factor groups, subgroups, Nielsen transformations, free products, and commutator calculus. This second revised edition enhances the original work with a new preface, providing updated bibliographical guidance and necessary corrections. The book serves as an indispensable resource for mathematicians aiming to understand the intricate interplay between algebraic structures and topological problems. With a wealth of carefully crafted exercises and clear, logical proofs, the text offers readers a comprehensive toolkit for exploring decision problems, varieties of groups, and residual properties. Whether you are a student or a specialist, this Dover edition remains a definitive, permanent reference for those seeking to master the complexities of combinatorial group theory in an accessible, historically significant format.
Used (acceptable, see images, some yellowing, some cover wear, some cover damage, some cover markings, and handwritten name) Softcover ISBN 0486632814
