Wild primes of a higher degree self-equivalence of a number field

Alfred Czogała; Beata Rothkegel; Andrzej Sładek

Published: 2016-09-23

Vol. 30 (2016)

Wild primes of a higher degree self-equivalence of a number field

Alfred Czogała , Beata Rothkegel , Andrzej Sładek

Abstract

Let ℓ > 2 be a prime number. Let K be a number field containing a unique ℓ-adic prime and assume that its class is an ℓth power in the class group C_K. The main theorem of the paper gives a sufficient condition for a finite set of primes of K to be the wild set of some Hilbert self-equivalence of K of degree ℓ.

Keywords:

higher degree Hilbert-symbol equivalence , wild prime

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Czogała, A., Rothkegel, B., & Sładek, A. (2016). Wild primes of a higher degree self-equivalence of a number field. Annales Mathematicae Silesianae, 30, 17–38. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13954

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