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# Let n be an integer greater than 1. Find a noncyclic

ISBN: 9781133599708 52

## Solution for problem 33SE Chapter 4

Contemporary Abstract Algebra | 8th Edition

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Contemporary Abstract Algebra | 8th Edition

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Problem 33SE

Let n be an integer greater than 1. Find a noncyclic subgroup of U (4n) of order 4 that contains the element 2n – 1.

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Discrete Mathematics CS225 Terms and concepts: Week 2 Reading 145-159, 165-167. 183-184. 201-203 and Lectures and Supplemental Info List of Types of Numbers: • Natural numbers ( ℕ ): Counting numbers. {0, 1, 2, 3…} • Integers ( ℤ ): Positive and negative counting numbers. {…-2, -1, 0, 1, 2, …} • Rational numbers ( ℚ ): Numbers that can be expressed as a ratio of an integer to a non-zero integer. ◦ Quotients of integers. ◦ All integers are rational, but not all rational numbers are integers. • Real numbers ( ℝ ) : Numbers that have decimal representations. ◦ Can be positive, negative, or zero. ◦ All rational numbers are real, not all real numbers are rational. • Irrational numbers (I): Real numbers that are not rationa

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Let n be an integer greater than 1. Find a noncyclic