(3)(4)Write down all proper subgroups in the group Z3 × Z3.Let G = S6 and H=((12), (123), (1234)). Compute the index of H in G.

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(3) Write down all proper subgroups in the group Z3 × Z3.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 34E: 34. Suppose that and are subgroups of the group . Prove that is a subgroup of .

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(4)
Write down all proper subgroups in the group Z3 × Z3.
Let G = S6 and H
=
((12), (123), (1234)). Compute the index of H in G.

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