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FINITARY AUTOMORPHISM GROUPS OVER NON-COMMUTATIVE RINGS

Published online by Cambridge University Press:  30 January 2002

B. A. F. WEHRFRITZ
B. A. F. WEHRFRITZ
Affiliation:
School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London E1 4NS
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Abstract

The notion of a group of finitary automorphisms of an arbitrary module over an arbitrary ring is introduced, and it is shown how properties of such groups can be derived from the case where the ring is a division ring (that is, from the properties of finitary skew linear groups). The results are particularly strong if either the group is locally finite or the module is Noetherian.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 611 - 623
Copyright
London Mathematical Society 2001

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