Show that the group of positive rational numbers under multiplicationis not cyclic. Why does this prove that the group of nonzerorationals under multiplication is not cyclic?
Show that the group of positive rational numbers under multiplicationis not cyclic. Why does this prove that the group of nonzerorationals under multiplication is not cyclic?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 9E: 9. Let be a group of all nonzero real numbers under multiplication. Find a subset of that is...
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Show that the group of positive rational numbers under multiplication
is not cyclic. Why does this prove that the group of nonzero
rationals under multiplication is not cyclic?
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