The diameter function on the space of space form

Jill McGowan

Displaying similar documents to “The diameter function on the space of space form”

An introduction to spherical orbit spaces.

McGowan, Jill, Searle, Catherine (2002)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Some results and conjectures on finite groups acting on homology spheres.

Zimmermann, B.P. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Similarity:

The maximum distinguishing number of a group.

Chan, Melody (2006)

The Electronic Journal of Combinatorics [electronic only]

Similarity:

On finite groups acting on acyclic low-dimensional manifolds

Alessandra Guazzi, Mattia Mecchia, Bruno Zimmermann (2011)

Fundamenta Mathematicae

Similarity:

We consider finite groups which admit a faithful, smooth action on an acyclic manifold of dimension three, four or five (e.g. Euclidean space). Our first main result states that a finite group acting on an acyclic 3- or 4-manifold is isomorphic to a subgroup of the orthogonal group O(3) or O(4), respectively. The analogous statement remains open in dimension five (where it is not true for arbitrary continuous actions, however). We prove that the only finite nonabelian simple groups admitting...