Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11: Part II

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1975Publisher:National Council of Teachers of MathematicsJournal:The Mathematics Teacher, volume 68, pages 235-246 (issn: 0025-5769, eissn: 2330-0582,

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Authors: Zalman Usiskin;

doi: 10.5951/mt.68.3.0235 , 10.5951/mt.68.2.0099

Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11: Part II

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Abstract

It is possible to form a set in an infinite additive group by beginning with any nonzero real a and adding it to itself over and over again, then including zero and the opposites of all numbers in the set. We call such a set the set of integral multiples of a. If a = 3, then here is such a set.

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