- #1
Anarchy6k2
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1. Complete the following table to obtain a Group, G, that is isomorphic to Z4
2. Complete the same table to obtain a Group, H, that is NOT isomorphic to Z4
*| a b c d
a|
b|
c|
d|
I tried to complete the group as isomorphic, can anyone tell me if this is correct?
*| a b c d
a| a a a a
b| a b c d
c| a c a c
d| a d c b
And here is my attempt at part to as if it is not an isomorphism
*| a b c d
a| a b c d
b| b c d a
c| c d a b
d| d a b c
2. Complete the same table to obtain a Group, H, that is NOT isomorphic to Z4
*| a b c d
a|
b|
c|
d|
I tried to complete the group as isomorphic, can anyone tell me if this is correct?
*| a b c d
a| a a a a
b| a b c d
c| a c a c
d| a d c b
And here is my attempt at part to as if it is not an isomorphism
*| a b c d
a| a b c d
b| b c d a
c| c d a b
d| d a b c
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