Consider the groups U(8)  and Z4 . (i)  Determine the identity element in the group U(8)xZ4 . (ii) Determine all the elements of order 4 in the group U(8)xZ4. (iii) Determine the subgroup of U(8)xZ4 generated by the element(7,1) .

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the groups U(8)  and Z4 .

(i)  Determine the identity element in the group U(8)xZ4 .

(ii) Determine all the elements of order 4 in the group U(8)xZ4.

(iii) Determine the subgroup of U(8)xZ4 generated by the element(7,1) .

 
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