The alternating group A5 has 5 conjugacy classes, of sizes 1, 12, 12, 15, 20. Use this information to prove that A5 is a simple group.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.3: Permutation Groups In Science And Art (optional)
Problem 7TFE: The alternating group A4 on 4 elements is the same as the group D4 of symmetries for a square. That...
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The alternating group A5 has 5 conjugacy classes, of sizes 1, 12, 12, 15, 20. Use this information to
prove that A5 is a simple group.
Transcribed Image Text:The alternating group A5 has 5 conjugacy classes, of sizes 1, 12, 12, 15, 20. Use this information to prove that A5 is a simple group.
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