p-Tower Groups over Quadratic Imaginary Number Fields
dc.contributor.author | McLeman, Cameron | |
dc.date.accessioned | 2018-02-19T16:57:16Z | |
dc.date.available | 2018-02-19T16:57:16Z | |
dc.date.issued | 2008-10-01 | |
dc.identifier.citation | Mathematical Annals of Quebec, no. 2, 199--209 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/142383 | |
dc.description.abstract | The modern theory of class field towers has its origins in the study of the p-class field tower over a quadratic imaginary number field, so it is fitting that this problem be the first in the discipline to be nearing a solution. We survey the state of the subject and present a new cohomological condition for a quadratic imaginary number field to have an infinite p-class field tower (for p odd). Under an additional hypothesis, we refine this to a necessary and sufficient condition and describe an algorithm for evaluating this condition for a given quadratic imaginary number field. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | class field towers, class field theory, algebraic number theory | en_US |
dc.title | p-Tower Groups over Quadratic Imaginary Number Fields | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | |
dc.subject.hlbtoplevel | Science | |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | UM - Flint | en_US |
dc.contributor.affiliationumcampus | Flint | en_US |
dc.description.bitstreamurl | https://deepblue.lib.umich.edu/bitstream/2027.42/142383/1/McLemanCRM.pdf | |
dc.identifier.source | Mathematical Annals of Quebec | en_US |
dc.description.filedescription | Description of McLemanCRM.pdf : Main Article | |
dc.owningcollname | Innovation and Technology, College of (UM-Flint) |
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