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Using Exercise 37, show that a nonabelian group G of order pq where p and q are primes has a

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Using Exercise 37, show that a nonabelian group G of order pq where p and q are primes has a trivial center. 

Data from Exercise 37.

Show that if G is nonabelian, then the factor group G/Z(G) is not cyclic.

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A First Course In Abstract Algebra

A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Details
Chapter # 3- HOMOMORPHISMS AND FACTOR GROUPS
Section: Exercise 15
Problem: 38
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Question Posted: January 02, 2023 04:46:02
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