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A note on the discriminant and prime ramification of some real Kummer extensions

Abstract : In this note, we establish some facts about real Kummer extensions of the form L = Q(p √ m 1 ,. .. , p √ mr), and L = K(p √ m 1 ,. .. , p √ mr) where Q(q √ n 1 ,. .. , q √ ns). In particular, we study the splitting of primes in L and exhibit fairly canonical and simple Q-bases of L and d L ∈ N such that the order it generates contains d L O L .
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03456622
Contributor : Andrea Lesavourey Connect in order to contact the contributor
Submitted on : Tuesday, November 30, 2021 - 10:44:24 AM
Last modification on : Thursday, December 2, 2021 - 3:41:33 AM

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  • HAL Id : hal-03456622, version 1

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Andrea Lesavourey. A note on the discriminant and prime ramification of some real Kummer extensions. 2021. ⟨hal-03456622⟩

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