On the Common Index Divisors of a Dihedral Field of Prime Degree

Blair K. Spearman; Kenneth S. Williams; Qiduan Yang

doi:10.1155/2007/89713

International Journal of Mathematics and Mathematical Sciences (Jan 2007)

On the Common Index Divisors of a Dihedral Field of Prime Degree

Blair K. Spearman,
Kenneth S. Williams,
Qiduan Yang

Affiliations

Blair K. Spearman: Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC V1V 1V7, Canada
Kenneth S. Williams: School of Mathematics and Statistics, Carleton University, Ottawa, ON K1S 5B6, Canada
Qiduan Yang: Department of Mathematics and Statistics, University of British Columbia Okanagan, Kelowna, BC V1V 1V7, Canada

DOI: https://doi.org/10.1155/2007/89713
Journal volume & issue: Vol. 2007

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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