Abstract
In this chapter, we give a brief exposition of several classical techniques in combinatorial group theory, namely methods of Nielsen, Schreier, Whitehead, and Tietze and the free differential calculus due to Fox. We do not go into details here because there are two very well-established monographs where a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.
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© 2004 Springer Science+Business Media New York
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Mikhalev, A.A., Shpilrain, V., Yu, JT. (2004). Classical Techniques of Combinatorial Group Theory. In: Combinatorial Methods. CMS Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21724-6_2
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DOI: https://doi.org/10.1007/978-0-387-21724-6_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2344-8
Online ISBN: 978-0-387-21724-6
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