Irreducible and Transitive Locally-Nilpotent by Abelian Finitary Groups, Arch. Math. 74 (2000) 168-172.

This paper was based on work in my PhD thesis conducted under the supervision of Prof B.A.F. Wehrfritz and with the support of an EPSRC grant.


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.