QUESTION 6 Consider the groups U(8) and Z () Determine the identity element in the group U(8) x ZA (ii) Determine all the elements of order 4 in the group U(8) xZ4. (iii) Determine the subgroup of U(8) x Z4 generated by the element (7,1)- Attach Cila

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 24E
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QUESTION 6
Consider the gToups U(8) and 7.
O Determine the identity element in the group U(8) × ZE
() Determine all the elements of order 4 in the group U(8) ×Z.
() Determine the subgroup of U(8) x/,
4 generated by the element (7 1)
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Transcribed Image Text:QUESTION 6 Consider the gToups U(8) and 7. O Determine the identity element in the group U(8) × ZE () Determine all the elements of order 4 in the group U(8) ×Z. () Determine the subgroup of U(8) x/, 4 generated by the element (7 1) Attach File Browse Local Files
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