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On the group of automorphisms of an analytic group

Published online by Cambridge University Press:  17 April 2009

W. H. Previts  and
T. S. Wu
W. H. Previts
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland OH 44106, United States of America
T. S. Wu
Affiliation:
Department of Mathematics, Case Western Reserve University, Cleveland OH 44106, United States of America
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Abstract

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Let G be an analytic group and let Aut G denote the group of all topological group automorphisms of G. We investigate when Aut G is almost algebraic. We provide various conditions, some of which are known, under which Aut G is almost algebraic. We also provide examples showing that there does not seem to be a clear and concise way to characterise G so that Aut G is almost algebraic in terms of the maximal central torus in G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 423 - 433
Copyright
Copyright © Australian Mathematical Society 2001

References

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