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 |
Acceso al artículo completo |