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Free Groups and Their Subgroups
Subgroups of Free Groups
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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 element of G elementary 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 small cancellation Solitar solvable word problem subgroup of G subset subword suppose theorem trivial vertex vertices whence Zieschang