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7. Let G be an infinite cyclic group. Give an example of a subgroup H in G such that H {e} or G. 8. Let m, n be two natural numbers such that m divides n. (a) Show that the map which sends a +nZ is well defines 7/mz

7. Let G be an infinite cyclic group. Give an example of a subgroup H in G such that H {e} or G. 8. Let m, n be two natural numbers such that m divides n. (a) Show that the map which sends a +nZ is well defines 7/mz

Advanced Engineering Mathematics
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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7. Let G be an infinite cyclic group. Give an example of a subgroup H in G such that H ‡ {e} or G. 8. Let m, n be two natural numbers such that m divides n. (a) Show that the map (1) which sends a + na TUL is well defined.
Transcribed Image Text:7. Let G be an infinite cyclic group. Give an example of a subgroup H in G such that H ‡ {e} or G. 8. Let m, n be two natural numbers such that m divides n. (a) Show that the map (1) which sends a + na TUL is well defined.
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