Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 23, Problem 10A
To determine

The percentage under given condition.

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Topic: Group Theory | Abstract Algebra Question: Let G be a finite group of order 45. Prove that G has a normal subgroup of order 5 or order 9, and describe the number of Sylow subgroups for each. Instructions: • Use Sylow's Theorems (existence, conjugacy, and counting). • List divisors of 45 and compute possibilities for n for p = 3 and p = 5. Show that if n = 1, the subgroup is normal. Conclude about group structure using your analysis.
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