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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Published in:The American mathematical monthly 2012-03, p.1
Main Author: Waterhouse, William C
Format: Article
Language:English
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Mathematics
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description 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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1930-0972
language eng
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source JSTOR Archival Journals and Primary Sources Collection; Taylor and Francis:Jisc Collections:Taylor and Francis Read and Publish Agreement 2024-2025:Science and Technology Collection (Reading list)
subjects Mathematics
title Square Root as a Homomorphism
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