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


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.


Abelian Group Finitary Group Linear Group Permutation Group Infinite Dimension 
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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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