Conjugacy pinched and cyclically pinched one-relator groups.

Título inglés	Conjugacy pinched and cyclically pinched one-relator groups.
Título español	Grupos de un relacionador estrechados conjugadamente y cíclicamente.
Autor/es	Fine, Benjamin ; Rosenberger, Gerhard ; Stille, Michael
Organización	Dep. Math. Fairfield Univ., Fairfield (Connecticut), Estados Unidos;Fachber. Math. Univ. Dortmund, Dortmund, Alemania
Revista	0214-3577
Publicación	1997, 10 (2): 207-227, 62 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative to n-freeness, separability properties including conjugacy separability, subgroup separability and residual finiteness, decision theoretic properties including the isomorphism problem and hyperbolicity.
Clasificación UNESCO	120106
Palabras clave español	Teoría de grupos ; Algebra relacional ; Compacidad ; Superficies ; Topología ; Funciones de variable compleja
Código MathReviews	MR1605642
Código Z-Math	Zbl 0904.20019
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