Normal integral bases for 𝐴₄ extensions of the rationals

Cougnard, Jean

doi:10.1090/S0025-5718-05-01779-5

Normal integral bases for $A_4$ extensions of the rationals
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Math. Comp. 75 (2006), 485-496 Request permission

Abstract:

We give an algorithm for constructing normal integral bases of tame Galois extensions of the rationals with group $A_4$. Using earlier works we can do the same until degree $15$.

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