EuDML | Browse

We give an algebraic proof of the fact that a generating set of the mapping class group Mg,1 (g ≥ 3) may be obtained by replicating a generating set of M2,1.

Geometric subgroups of surface braid groups

Luis Paris, Dale Rolfsen (1999)

Annales de l'institut Fourier

Let $M$ be a surface, let $N$ be a subsurface, and let $n \leq m$ be two positive integers. The inclusion of $N$ in $M$ gives rise to a homomorphism from the braid group $B_{n} N$ with $n$ strings on $N$ to the braid group $B_{m} M$ with $m$ strings on $M$ . We first determine necessary and sufficient conditions that this homomorphism is injective, and we characterize the commensurator, the normalizer and the centralizer of $π_{1} N$ in $π_{1} M$ . Then we calculate the commensurator, the normalizer and the centralizer of $B_{n} N$ in $B_{m} M$ for large surface braid...

Groupes fondamentaux des variétés de dimension $3$ et algèbres d’opérateurs

Pierre de la Harpe, Jean-Philippe Préaux (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

Nous proposons une caractérisation géométrique des variétés de dimension $3$ ayant des groupes fondamentaux dont toutes les classes de conjugaison autres que ${1}$ sont infinies, c’est-à-dire dont les algèbres de von Neumann sont des facteurs de type $I I_{1}$ : ce sont essentiellement les $3$ -variétés à groupes fondamentaux infinis qui n’admettent pas de fibration de Seifert. Autrement dit et plus précisément, soient $M$ une $3$ -variété connexe compacte et $Γ$ son groupe fondamental, qu’on suppose être infini et avec...

Groupoids, the Phragmen-Brouwer property, and the Jordan curve theorem.

Brown, Ronald (2006)

Journal of Homotopy and Related Structures

Groups acting on $CAT (0)$ cube complexes.

Niblo, Graham, Reeves, Lawrence (1997)

Geometry & Topology

Growth functions of surface groups.

J.W. Cannon, Ph. Wagreich (1992)

Mathematische Annalen

Growth functions on Fuchsian groups and the Euler characteristic.

S.P. Plotnick, W.J. Floyd (1987)

Inventiones mathematicae

Hausdorff combing of groups and $π_{1}^{\infty}$ for universal covering spaces of closed 3-manifolds

V. Poénaru, C. Tanasi (1993)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

h-Cobordismes entre variétés homéomorphes.

Jean-Claude Hausmann (1975)

Commentarii mathematici Helvetici

Heegaard Splittings and Branched Coverings of B3.

Steven A. Bleiler, Yoav Moriah (1988)

Mathematische Annalen

Heegaard splittings of exteriors of two bridge knots.

Kobayashi, Tsuyoshi (2001)

Geometry & Topology

Hegaard genus of closed orientable Seifert 3-manifolds.

M. Boileau, H. Zieschang (1984)

Inventiones mathematicae

High-dimensional knots corresponding to the fractional Fibonacci groups

Andrzej Szczepański, Andreĭ Vesnin (1999)

Fundamenta Mathematicae

We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

Currently displaying 81 – 100 of 256

Previous Page 5 Next