Mathematical Journal of Okayama University 61巻 1号

2019-01 発行

Brown, Stephen C.
Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia

Davis, Chad T.
Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia

Publication Date

2019-01

Abstract

Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes.

Keywords

Cyclic quartic field

Prime ideal factorization

Comments

Mathematics Subject Classification. Primary 11R16; Secondary 11R27.