Small note to myself on notational problems when facing finite groups.

Recall the finite field with four elements is ℤ_{2}[x]/(1+x+x^{2}).

People often write ω = 1+x and ω=x. Observe then that ω^{2} = ω, and ω^{2} = ω. Moreover ωω=1 and 1+ω+ω=0.

I have only seen this ω notation specified in Pless' *Error Correcting Codes*, Third ed., page 102 et seq.

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