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dc.contributor.authorBarker, L.en_US
dc.contributor.authorYalçın, E.en_US
dc.date.accessioned2016-02-08T10:30:48Z
dc.date.available2016-02-08T10:30:48Z
dc.date.issued2003en_US
dc.identifier.issn1433-5883
dc.identifier.urihttp://hdl.handle.net/11693/24538
dc.description.abstractFor a finite supersolvable group G, we define the saw rank of G to be the minimum number of sections Gk/Gk-1 of a cyclic normal series G* such that Gk -Gk-1 contains an element of prime order. The axe rank of G, studied by Ray [10], is the minimum number of spheres in a product of spheres admitting a free linear action of G. Extending a question of Ray, we conjecture that the two ranks are equal. We prove the conjecture in some special cases, including that where the axe rank is 1 or 2. We also discuss some relations between our conjecture and some questions about Bieberbach groups and free actions on tori.en_US
dc.language.isoEnglishen_US
dc.source.titleJournal of Group Theoryen_US
dc.titleA new notion of rank for finite supersolvable groups and free linear actions on products of spheresen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematics
dc.citation.spage347en_US
dc.citation.epage364en_US
dc.citation.volumeNumber6en_US
dc.citation.issueNumber3en_US
dc.publisherWalter de Gruyter GmbHen_US


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