Authors
Citation
L. Robertson, Power bases for 2-power cyclotomic fields, J NUMBER TH, 88(1), 2001, pp. 196-209
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X
→ ACNP
Volume
88
Issue
1
Year of publication
2001
Pages
196 - 209
Database
ISI
SICI code
0022-314X(200105)88:1<196:PBF2CF>2.0.ZU;2-1
Abstract
Let zeta be a primitive 2(m)th root of unity. We prove that Z[alpha] = Z[ze
ta] if and only if alpha = n +/- zeta ' for some n, i is an element of Z, i
odd. This is the first example of number fields of;arbitrarily large degre
e for which all power bases for the ring of integers are known. (C) 2001 Ac
ademic Press.