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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.

Manifold Approximate Fibrations are Approximately Bundles.

C.B. Hugehs, L. Taylor, E. Williams (1991)

Forum mathematicum

Manifolds with a given homology and fundamental gorup.

Jean-Claude Hausmann (1978)

Commentarii mathematici Helvetici

Manifolds with a special type of conelike singularities.

Marcel Bökstedt, Soren Vagner (1983)

Mathematica Scandinavica

Manifolds with non-stable fundamental groups at infinity.

Guilbault, Craig R. (2000)

Geometry & Topology

Manifolds with non-stable fundamental groups at infinity, II.

Tinsley, F.C., Guilbault, C.R. (2003)

Geometry & Topology

Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).

K.D. Elworthy, Steven Rosenberg (1991)

Inventiones mathematicae

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.