Realizability and admissibility under extension of p-adic and number fields

Danny Neftin, Uzi Vishne

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A finite group G is K-admissible if there is a G-crossed product K-division algebra. In this manuscript we study the behavior of admissibility under extensions of number fieldsM/K. We show that in many cases, including Sylow metacyclic and nilpotent groups whose order is prime to the number of roots of unity in M, a K-admissible group G is M-admissible if and only if G satisfies the easily verifiable Liedahl condition over M.

Original languageEnglish
Pages (from-to)359-382
Number of pages24
JournalDocumenta Mathematica
Volume18
Issue number2013
StatePublished - 2013

Keywords

  • Adequate field
  • Admissible group
  • Liedahl's condition
  • Tame ad-missibility

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