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Let n be a positive integer. Let H = {0, ±n, ±2n, ±3n, . .

Chapter 7, Problem 6E

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QUESTION:

Let n be a positive integer. Let H = {0, ±n, ±2n, ±3n, . . .}. Find all left cosets of H in Z. How many are there?

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QUESTION:

Let n be a positive integer. Let H = {0, ±n, ±2n, ±3n, . . .}. Find all left cosets of H in Z. How many are there?

ANSWER:

Step 1 of 3

Here  if and only if .

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