Free actions of p-groups on products of lens spaces
| dc.citation.epage | 898 | en_US |
| dc.citation.issueNumber | 3 | en_US |
| dc.citation.spage | 887 | en_US |
| dc.citation.volumeNumber | 129 | en_US |
| dc.contributor.author | Yalçın, E. | en_US |
| dc.date.accessioned | 2019-02-05T10:44:24Z | |
| dc.date.available | 2019-02-05T10:44:24Z | |
| dc.date.issued | 2000-09-20 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let p be an odd prime number. We prove that if (Z=p)r acts freely on a product of k equidimensional lens spaces, then r k. This settles a special case of a conjecture due to C. Allday. We also nd further restrictions on non-abelian p-groups acting freely on a product of lens spaces. For actions inducing a trivial action on homology, we reach the following characterization: A p-group can act freely on a product of k lens spaces with a trivial action on homology if and only if rk(G) k and G has the -extension property. The main technique is to study group extensions associated to free actions. | en_US |
| dc.identifier.eissn | 1088-6826 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.uri | http://hdl.handle.net/11693/48869 | |
| dc.language.iso | English | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.source.title | American Mathematical Society. Proceedings | en_US |
| dc.subject | Group actions | en_US |
| dc.subject | Products of lens spaces | en_US |
| dc.subject | Group extensions | en_US |
| dc.title | Free actions of p-groups on products of lens spaces | en_US |
| dc.type | Article | en_US |
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