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Lawlessness and rank restrictions in certain finitary groups
Author(s):
C.
J. E.
Pinnock
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2815-2819.
MSC (2000):
Primary 20H99, 20E10
Posted:
May 1, 2002
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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
DOI:
10.1090/S0002-9939-02-06673-X
PII:
S 0002-9939(02)06673-X
Keywords:
Finitary group,
Pr\"ufer rank,
variety
Received by editor(s):
November 16, 2000
Posted:
May 1, 2002
Additional Notes:
This work was supported by an EPSRC grant
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2002,
American Mathematical Society
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