## Lawlessness and rank restrictions in certain finitary groups

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- Proc. Amer. Math. Soc.
**130**(2002), 2815-2819 Request permission

## 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.## References

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## Additional Information

**C. J. E. Pinnock**- Affiliation: School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS, United Kingdom
- Address at time of publication: IP Design, Interoute Telecommunications (UK) Ltd., Barnard’s Inn, 86 Fetter Lane, London EC4A 1EN, United Kingdom
- Email: C.J.E.Pinnock@qmw.ac.uk, cjep@fawlty.net
- Received by editor(s): November 16, 2000
- Published electronically: May 1, 2002
- Additional Notes: This work was supported by an EPSRC grant
- Communicated by: Lance W. Small
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**130**(2002), 2815-2819 - MSC (2000): Primary 20H99, 20E10
- DOI: https://doi.org/10.1090/S0002-9939-02-06673-X
- MathSciNet review: 1908262