IJPAM: Volume 61, No. 3 (2010)
INERTIA SUBGROUPS FOR OCTIC
-ADIC FIELDS

John W. Jones
School of Mathematical and Statistical Sciences
Arizona State University
P.O. Box 871804, Tempe, AZ 85287, USA
e-mail: [email protected]
School of Mathematical and Statistical Sciences
Arizona State University
P.O. Box 871804, Tempe, AZ 85287, USA
e-mail: [email protected]
Abstract.We present an method for computing the inertia subgroup for the normal closure of an octic extension of a -adic number field. The principal application is to octic extensions of
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Received: March 12, 2010
AMS Subject Classification: 11E10, 20K27, 20Fxx
Key Words and Phrases: inertia subgroup, number field, normal closure, octic extensions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 61
Issue: 3