Square Root as a Homomorphism

In any field K where -1 is not a square, there are homomorphisms from the squares to (chosen) square roots in K. Maximal fields F with such homomorphisms have either or the 2-adic integers. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:The American mathematical monthly 2012-03, p.1
Main Author: Waterhouse, William C
Format: Article
Language:English
Subjects:
Mathematics
Online Access:Get full text
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Summary:In any field K where -1 is not a square, there are homomorphisms from the squares to (chosen) square roots in K. Maximal fields F with such homomorphisms have either or the 2-adic integers. [PUBLICATION ABSTRACT]
ISSN:0002-9890
1930-0972