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4.14. Show that an element of the factor group R/Z has finite order if and only if it is in Q/Z.

4.14. Show that an element of the factor group R/Z has finite order if and only if it is in Q/Z.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 2E
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4.14. Show that an element of the factor group R/Z has finite order if and only if it is in Q/Z.
Transcribed Image Text:4.14. Show that an element of the factor group R/Z has finite order if and only if it is in Q/Z.
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