Prove that the subgroup {o E S | o (5) = 5} of Sg is isomorphic to S4.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 9E: 9. Suppose that and are subgroups of the abelian group such that . Prove that .
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Transcribed Image Text:Prove that the subgroup {o E S o (5) = 5} of Sg is isomorphic to S.
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