A tiny note on Gauss's lemma
type: Item
instance of: scholarly article
title: A tiny note on Gauss's lemma
zbMATH Open document ID: 0663.12002
DOI: 10.1016/0022-314X(88)90029-7
author: William C. Waterhouse
published in: Journal of Number Theory
publication date: 1988-01-01T00:00:00Z
review text: The author's abstract states: ``Gauss' lemma is a theorem on transfers.'' This refers to the lemma of Gauss used in the proof of the quadratic reciprocity law. The author states a group theoretic generalization of Gauss' lemma and shows that the proof uses the homomorphism law as the transfer. The interested reader is referred to \textit{A. Leutbecher} [Arch. Math. 23, 151-153 (1972; Zbl 0251.10003)] for a more technical discussion of this relationship.
reviewed by: Charles J. Parry
Mathematics Subject Classification ID: 11R04
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 4083759
zbMATH Keywords: transfer
zbMATH Keywords: quadratic reciprocity
MaRDI profile type: Publication
Wikidata QID: Q124986792
cites work: Cohomology of groups and transfer
cites work: Q5792522
cites work: Q4145769
cites work: Q4180420
full work available at URL: 0022-314x(88)90029-7
OpenAlex ID: W2073261344
description: scientific article; zbMATH DE number 4083759