Abstract Algebra I QUESTION 11Given H = {(1), (1 2) (3 4), (13 ) (2 4), (14) (2 3)}.%3Da) Show tha H is a subgroup of A-b) Find all the left cosets of H in A.c) Find all the right cosets of H in Ad) Is H a normal subgroup of A

Here given H=1, 1234, 1324, 1423 is a subset of A4. Where A4 is even permutation group defined as…

Answered: QUESTION 11 Given H {(1), (1 2) (3 4),…

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 22E: 22. If and are both normal subgroups of , prove that is a normal subgroup of .

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QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A b) Find all the left cosets of H in A. c) Find all the right cosets of H in A.