This article is cited in 6 papers

Research papers

Some results and conjectures on finite groups acting on homology spheres

B. P. Zimmermann

Dipartimento di Matematica e Informatica Università degli Studi di Trieste, Trieste, Italy

Abstract: This is a note based on a talk given in the Workshop on geometry and topology of $3$-manifolds, Novosibirsk, 22–26 August 2005. We consider the class of finite groups, which admit arbitrary, i.e. not necessarily free actions on integer and $\bmod2$ homology spheres, with an emphasis on the $3$- and $4$-dimensional cases. We recall some classical results and present some recent progress as well as new results, open problems and the emerging conjectural picture of the situation.

UDC: 515.162.3

MSC: 57M60

Received October 15, 2005, published November 4, 2005

Language: English

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