Israel Journal of Mathematics

, Volume 40, Issue 3–4, pp 307–323

Sylow-metacyclic groups andQ-admissibility

  • David Chillag
  • Jack Sonn
Article

Abstract

A finite groupG isQ-admissible if there exists a division algebra finite dimensional and central overQ which is a crossed product forG. AQ-admissible group is necessarily Sylow-metacyclic (all its Sylow subgroups are metacyclic). By means of an investigation into the structure of Sylow-metacyclic groups, the inverse problem (is every Sylow-metacyclic groupQ-admissible?) is essentially reduced to groups of order 2a 3b and to a list of known “almost simple” groups.

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Copyright information

© The Weizmann Science Press of Israel 1981

Authors and Affiliations

  • David Chillag
    • 1
  • Jack Sonn
    • 1
  1. 1.Department of MathematicsTechnion — Israel Institute of TechnologyHaifaIsrael

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