page1908 Rings Matthias Lorentzen...mattegrisenforlag.com
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Question
Given that the multiplicative group
`ZZ_2(alpha)"/"{0} = {1 , alpha , alpha + 1}` is cyclic
of order 3 generated by both `alpha and alpha + 1`,
examine the structure of the additive group
`ZZ_2(alpha) = {0 ,1 , alpha , alpha + 1}`.
Is this
additive group cyclic
?
