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Published in:
2008 | OriginalPaper | Chapter
Number Fields Ramified at One Prime
Authors : John W. Jones, David P. Roberts
Published in: Algorithmic Number Theory
Publisher: Springer Berlin Heidelberg
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For
G
a finite group and
p
a prime, a
G
-
p
field is a Galois number field
K
with
$\mbox{Gal}(K/{\bf Q}) \cong G$
and
$\mbox{disc}(K) = \pm p^{a}$
for some
a
. We study the existence of
G
-
p
fields for fixed
G
and varying
p
.