## Combinatorial group theoryFrom the reviews: "This book (...) defines the boundaries of the subject now called combinatorial group theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages. This includes a substantial and useful bibliography; (over 1100 (items)). ...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." "Mathematical Reviews, AMS, 1979" |

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### Contents

Free Groups and Their Subgroups | 1 |

Nielsens Method | 4 |

Subgroups of Free Groups | 13 |

Copyright | |

50 other sections not shown

### Common terms and phrases

abelian algebraically closed group algorithm Amer Aut(F automorphism Baumslag boundary cycle boundary label Cayley complex conjugacy problem conjugate contains cosets cyclic groups cyclic words cyclically reduced Dehn's algorithm diagram edge elementary elements of G embedded equations F-group factor finite groups finite index finitely generated subgroup finitely presented group follows free group free product Fuchsian groups fundamental group group G hence Higman HNN extension homomorphism hypothesis implies induction infinite integer isomorphic Karrass Lemma length Let F Let G London Math loop Lyndon Magnus matrix minimal modulo non-trivial element normal closure normal form normal subgroup obtained one-relator groups path presentation G Proc product with amalgamation proof Proposition quotient group rank recursively enumerable reduced form reduced word region residually finite residually finite groups result satisfies sequence Solitar solvable word problem subgroup of G subset subword suppose theorem trivial vertex vertices whence Zieschang