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.
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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