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Some Non-commutative Methods in Algebraic Number Theory

Taussky, Olga (1983) Some Non-commutative Methods in Algebraic Number Theory. In: Emmy Noether in Bryn Mawr. Springer New York , New York, NY, pp. 47-57. ISBN 9781461255499. https://resolver.caltech.edu/CaltechAUTHORS:20201001-145812146

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Abstract

Some time between the years 1930–32 I heard Emmy cry out: “ 1 – S = 2 if S = - 1.” What she meant was, of course, that the symbolic power 1 – S implies squaring if S is the automorphism given by the inverse. Many times I heard her say, in many contexts: “Das muss hyperkomplex bewiesen werden,” using the word hyperkomplex as an adverb. Both of these utterances were crucial for the work of Emmy that fits into the title of this article. Their implications illuminate a vast area of methods, formulations, new ideas.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-1-4612-5547-5_4DOIArticle
https://rdcu.be/b7YxFPublisherFree ReadCube access
Additional Information:© Springer-Verlag New York Inc. 1983. The author has received advice for the presentation of this article from E. C. Dade, D. Estes, R. Guralnick, and H. Kisilevsky.
Subject Keywords:Galois Group; Ideal Class; Quadratic Field; Integral Matrix; Class Field Theory
Record Number:CaltechAUTHORS:20201001-145812146
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201001-145812146
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105742
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:02 Oct 2020 15:02
Last Modified:02 Oct 2020 15:02

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