(b) Let H= ((3,3, 6)), the cyclic subgroup of G generated by (3,3,6). Determine |G/H.
(b) Let H= ((3,3, 6)), the cyclic subgroup of G generated by (3,3,6). Determine |G/H.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer only letter b
Transcribed Image Text:Let G = Z9 x Z12 × Z16.
(a) Find all subgroups of G of order 144.
(b) Let H = ((3,3, 6)), the cyclic subgroup of G generated by (3,3,6). Determine |G/H.
(c) Determine the order of the element (4,5, 2) + H in the factor group G/H.
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