Exotic integral witt equivalence of algebraic number fields

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Kang, Changheon
witt ring; symmetric bilinear form; witt equivalence
thesis / dissertation description
Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(OK) ~ W(OL) between the Witt rings of the number rings OK and OL of K and L, respectively. This dissertation studies exotic integral Witt equivalence for totally complex number fields and gives necessary and sufficient conditions for exotic integral equivalence in two special classes of totally complex number fields.