1.

Consider the set G= {1,5,7,11,13,17} under multiplication modulo 18 as a group. Construct the multiplication table for G and find the inverse of each element of G.

Answer»
x18157111317
1157111317
5571711113
7717135111
11111513177
13131111775
17171311751

Inverse of element 1 under x5 (multiplication modulo 18) = 1

Inverse of element 5 = 1

Inverse of element 7 = 13

Inverse of element 11 = 5

Inverse of element 13 = 7

Inverse of element 17 = 17



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