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Malnormal subgroups and Frobenius groups: basics and examples

Pierre de la Harpe, Claude Weber (2014)

Confluentes Mathematici

Malnormal subgroups occur in various contexts. We review a large number of examples, and compare the general situation to that of finite Frobenius groups of permutations.In a companion paper [18], we analyse when peripheral subgroups of knot groups and $3$ -manifold groups are malnormal.

Mapping class group of a handlebody

Bronisław Wajnryb (1998)

Fundamenta Mathematicae

Let B be a 3-dimensional handlebody of genus g. Let ℳ be the group of the isotopy classes of orientation preserving homeomorphisms of B. We construct a 2-dimensional simplicial complex X, connected and simply-connected, on which ℳ acts by simplicial transformations and has only a finite number of orbits. From this action we derive an explicit finite presentation of ℳ.

Displaying 1 – 10 of 10

Malnormal subgroups and Frobenius groups: basics and examples

Mapping class group of a handlebody

Mappings of reducible 3-manifolds

Maximal tubes under the deformations of 3-dimensional hyperbolic cone-manifolds.

Minimal surfaces and 3-manifolds of non-negative Ricci curvature.

Mise en position optimale de tores par rapport à un flot d'Anosov.

Moebius Planes with Locally Euclidean Circles Are Flat.

Monoids of linking pairings and orthogonal summands. (Monoide des enlacements et facteurs orthogonaux.)

Motion of links in the 3-sphere.

Mutation and volumes of knots in S3.

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