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

## Question:

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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## Step by Step Answer:

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**Question Details**

Chapter #

**3**- HOMOMORPHISMS AND FACTOR GROUPSSection: Exercise 15

Problem: 38

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