Lawlessness and rank restrictions in certain finitary groups

Pinnock, C.

doi:10.1090/S0002-9939-02-06673-X

Lawlessness and rank restrictions in certain finitary groups
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by C. J. E. Pinnock

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

DOI: https://doi.org/10.1090/S0002-9939-02-06673-X

Published electronically: 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.

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