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Archiv der Mathematik

, Volume 74, Issue 3, pp 168–172 | Cite as

Irreducible and transitive locally-nilpotent by abelian finitary groups

  • C.J.E. Pinnock
  • 34 Downloads

Abstract.

We show that a locally-nilpotent by abelian group that is either a transitive finitary permutation group on an infinite set or an irreducible finitary skew linear group of infinite dimension, is a p-group for some suitably chosen prime p.

Keywords

Abelian Group Finitary Group Linear Group Permutation Group Infinite Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • C.J.E. Pinnock
    • 1
  1. 1.School of Mathematical Sciences, Queen Mary and Westfield College, Mile End Road, London E1 4NS, U.K.GB

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