A survey of trace forms of algebraic number fields / P.E. Conner & R. Perlis



Digitised Book 216.73.216.10 (0)

1984

A survey of trace forms of algebraic number fields / P.E. Conner & R. Perlis

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This manuscript presents insights on trace forms, with some of the unsolved problems. It concludes that the trace form is a weak, but non-trivial, invariant capable of providing some concrete information about finite separable extensions.

Subjects

Algebraic fields Field extensions (Mathematics)

Categories

Nature and Environment

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Additional Details

Title
A survey of trace forms of algebraic number fields / P.E. Conner & R. Perlis
Creators
  • Conner, P. E. (Pierre E.), 1932-
Subject
  • Algebraic fields
  • Field extensions (Mathematics)
Publisher
  • World Scientific, 1984
  • National Library Board Singapore, 1984
Contributors
  • Perlis, R.
Digital Description
application/pdf, ix, 316 p.
Table of Contents
  • Preface -- ch. I. The Witt class of a trace form -- ch. II. The Hasse-Witt invariant of a trace form -- ch. III. Examples of trace forms on extensions of Q -- ch. VI. The integral trace form on a cyclic extension of odd prime degree -- ch. V. Normal extensions and equivariant Witt rings -- ch. VI. Examples and applications of trace form considerations -- References.
Copyright
  • All Rights Reserved. National Library Board Singapore 2009.