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On tidy subgroups of locally compact totally disconnected groups

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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Willis has established a structure theory of locally compact totally disconnected groups. An important feature of this theory is the notion of a tidy subgroup. In this paper we provide several results regarding these subgroups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 485 - 490
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Bourbaki, N., Integration (Hermann, Paris, 1963).Google Scholar
[2]Bourbaki, N., General topology (Part 1) (Addison-Wesley, Reading, MA, 1966).Google Scholar
[3]Willis, G., ‘The structure of totally disconnected, locally compact groups’, Math. Ann. 300 (1994), 341–363.CrossRefGoogle Scholar
[4]Willis, G., ‘Further properties of the scale function on a totally disconnected group’, J. Algebra 237 (2001), 142–164.Google Scholar