On the Common Index Divisors of a Dihedral Field of Prime Degree
A criterion for a prime to be a common index divisor of a dihedral field of prime degree is given. This criterion is used to determine the index of families of dihedral fields of degrees 5 and 7.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/89713 |
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doaj-3d19c2d12da94fa5be514941109e53272020-11-24T22:57:02ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/8971389713On the Common Index Divisors of a Dihedral Field of Prime DegreeBlair K. Spearman0Kenneth S. Williams1Qiduan Yang2Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC V1V 1V7, CanadaSchool of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, CanadaDepartment of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC V1V 1V7, CanadaA criterion for a prime to be a common index divisor of a dihedral field of prime degree is given. This criterion is used to determine the index of families of dihedral fields of degrees 5 and 7.http://dx.doi.org/10.1155/2007/89713 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Blair K. Spearman Kenneth S. Williams Qiduan Yang |
| spellingShingle |
Blair K. Spearman Kenneth S. Williams Qiduan Yang On the Common Index Divisors of a Dihedral Field of Prime Degree International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Blair K. Spearman Kenneth S. Williams Qiduan Yang |
| author_sort |
Blair K. Spearman |
| title |
On the Common Index Divisors of a Dihedral Field of Prime Degree |
| title_short |
On the Common Index Divisors of a Dihedral Field of Prime Degree |
| title_full |
On the Common Index Divisors of a Dihedral Field of Prime Degree |
| title_fullStr |
On the Common Index Divisors of a Dihedral Field of Prime Degree |
| title_full_unstemmed |
On the Common Index Divisors of a Dihedral Field of Prime Degree |
| title_sort |
on the common index divisors of a dihedral field of prime degree |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2007-01-01 |
| description |
A criterion for a prime to be a common index divisor of a
dihedral field of prime degree is given. This criterion is used to determine
the index of families of dihedral fields of degrees 5 and 7. |
| url |
http://dx.doi.org/10.1155/2007/89713 |
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