Could you explain how to show this in easiest possible way (in detail)? 6.24. Let N be a normal subgroup of A4 containing a 3-cycle. Show that N= A4.

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Description: Could you explain how to show this in easiest possible way (in detail)? 6.24. Let N be a normal subgroup of A4 containing a 3-cycle. Show that N= A4.

Suppose σ=a,b,c∈N Then, S=a,b,c is the unique non-trivial orbit of σ. The 3-cycle which have S as…

Answered: Let N be a normal subgroup of A4…

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Advanced Math

Let N be a normal subgroup of A4 containing a 3-cycle. Show that N = A4.

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 30E

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