Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.
Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 4E: 4. Prove that the special linear group is a normal subgroup of the general linear group .
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![Q3: (A) Prove that
1. There is no simple group of order 200.
2. Every group of index 2 is normal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad3b7ffc-548a-496a-a20a-df31551264fe%2Fa6109c9f-7d39-47c3-b633-286fea495825%2Fk4o571r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q3: (A) Prove that
1. There is no simple group of order 200.
2. Every group of index 2 is normal.
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