Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 11E: Let be a group of order 24. If is a subgroup of , what are all the possible orders of ?
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Question
Prove that a group that has more than one subgroup of order 5 must
have order at least 25.
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