Wild primes of a higher degree self-equivalence of a number field
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 CK. 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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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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