Fusion systems and constructing free actions on products of spheres

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dc.citation.epage959en_US
dc.citation.issueNumber3-4en_US
dc.citation.spage939en_US
dc.citation.volumeNumber270en_US
dc.contributor.authorÜnlü, Ö.en_US
dc.contributor.authorYalçın, E.en_US
dc.date.accessioned2016-02-08T09:47:39Z
dc.date.available2016-02-08T09:47:39Z
dc.date.issued2012en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe show that every rank two p-group acts freely and smoothly on a product of two spheres. This follows from a more general construction: given a smooth action of a finite group G on a manifold M, we construct a smooth free action on M × S n1× ... × S nk when the set of isotropy subgroups of the G-action on M can be associated to a fusion system satisfying certain properties. Another consequence of this construction is that if G is an (almost) extra-special p-group of rank r, then it acts freely and smoothly on a product of r spheres. © 2011 Springer-Verlag.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T09:47:39Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2012en
dc.identifier.doi10.1007/s00209-010-0833-zen_US
dc.identifier.eissn1432-1823
dc.identifier.issn0025-5874
dc.identifier.urihttp://hdl.handle.net/11693/21529
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00209-010-0833-zen_US
dc.source.titleMathematische Zeitschriften_US
dc.subjectPrimary 57S25en_US
dc.subjectSecondary 20D20en_US
dc.titleFusion systems and constructing free actions on products of spheresen_US
dc.typeArticleen_US

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