Lawless Finitary Groups

Lawlessness and Rank Restrictions in Certain Finitary Groups, Proc. Amer. Math. Soc. 130 (2002) 2815-2819.

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.

Abstract

We give two applications of the recent classification of locally finite simple finitary skew linear groups. We show that certain irreducible finitary skew linear groups of infinite dimension generate the variety of all groups and have infinite Prüfer rank.

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