Locally compact groups: maximal compact subgroups and N-groups-Reference-Cited by-同舟云学术

Locally compact groups: maximal compact subgroups and N-groups

Published:1988-07 Issue:1 Volume:104 Page:47-64
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Bagley R. W.,Wu T. S.,Yang J. S.

Abstract

AbstractIf G is a locally compact group such thatG/G0contains a uniform compactly generated nilpotent subgroup, thenGhas a maximal compact normal subgroupKsuch thatG/Gis a Lie group. A topological groupGis an N-group if, for each neighbourhoodUof the identity and each compact setC⊂G, there is a neighbourhoodVof the identity such thatfor eachg∈G. Several results on N-groups are obtained and it is shown that a related weaker condition is equivalent to local finiteness for certain totally disconnected groups.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ON THE STRUCTURE OF CERTAIN LOCALLY COMPACT TOPOLOGICAL-GROUPS;T AM MATH SOC;1991

2. On the structure of certain locally compact topological groups;Transactions of the American Mathematical Society;1991

3. Compact and compactly generated subgroups of locally compact groups;Proceedings of the American Mathematical Society;1990