R-sequenceability and R*-sequenceability of abelian 2-groups
dc.contributor.author | Headley, Patrick | en_US |
dc.date.accessioned | 2006-04-10T17:57:43Z | |
dc.date.available | 2006-04-10T17:57:43Z | |
dc.date.issued | 1994-08-05 | en_US |
dc.identifier.citation | Headley, Patrick (1994/08/05)."R-sequenceability and R*-sequenceability of abelian 2-groups." Discrete Mathematics 131(1-3): 345-350. <http://hdl.handle.net/2027.42/31392> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6V00-48FM0BT-13/2/f3486ac08eb499f19da61af6b3eec394 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/31392 | |
dc.description.abstract | A group of order n is said to be R-sequenceable if the nonidentify elements of the group can be listed in a sequence a1,a2,...,an-1 such that the quotients a-11a2,a-12a3,...,a-1n-2an-1,a-1n-1a1 are distinct. An abelian group is R*-sequenceable if it has an R-sequencing a1,a2,...,an-1 such that ai-1ai+1=ai for some i (subscripts are read modulo n-1). Friedlander, Gordon and Miller (1978) showed that an R*-sequenceable Sylow 2-subgroup is a sufficient condition for a group to be R-sequenceable. In this paper we also show that all noncyclic abelian 2-groups are R*-sequenceable except for 2 x 4 and 2 x 2 x 2. | en_US |
dc.format.extent | 333135 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | R-sequenceability and R*-sequenceability of abelian 2-groups | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-4903, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/31392/1/0000306.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0012-365X(94)90396-4 | en_US |
dc.identifier.source | Discrete Mathematics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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