. Which of the following groups are cyclic? (i) The group G of positive rational numbers which can be written as a/b with a and b odd, under multiplication. (ii) Z = {1, 2, 4, 5, 7, 8} under x modulo 9. (iii) The group H of matrices of the form (17), 01 with n Z, under matrix multiplication.

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3. Which of the following groups are cyclic?
(i) The group G of positive rational numbers which can be written as a/b with a and b odd,
under multiplication.
(ii) Z
{1, 2, 4, 5, 7, 8} under x modulo 9.
(iii) The group H of matrices of the form
=
1 n
01
1
with n Z, under matrix multiplication.
Transcribed Image Text:3. Which of the following groups are cyclic? (i) The group G of positive rational numbers which can be written as a/b with a and b odd, under multiplication. (ii) Z {1, 2, 4, 5, 7, 8} under x modulo 9. (iii) The group H of matrices of the form = 1 n 01 1 with n Z, under matrix multiplication.
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