- Title
- Uniscalar p-adic Lie groups
- Creator
- Glöckner, Helge; Willis, George A.
- Relation
- Forum Mathematicum Vol. 13, p. 273-292
- Publisher Link
- http://dx.doi.org/10.1515/form.2001.015
- Publisher
- Walter de Gruyter
- Resource Type
- journal article
- Date
- 2001
- Description
- A totally disconnected, locally compact group G is said to be uniscalar if its scale function sG : G → N, as defined in [G. A. Willis, The structure of totally disconnected, locally compact groups is identically 1. It is known that G is uniscalar if and only if every element of G normalizes some open, compact subgroup of G. We show that every identity neighbourhood of a compactly generated, uniscalar p-adic Lie group contains an open, compact, normal subgroup. In contrast, uniscalar p-adic Lie groups which are not compactly generated need not possess open, compact, normal subgroups.
- Subject
- uniscalar; p-adic Lie groups; probability theory; group theory
- Identifier
- http://hdl.handle.net/1959.13/933251
- Identifier
- uon:11584
- Identifier
- ISSN:0933-7741
- Rights
- “The final publication is available at www.degruyter.com”.
- Language
- eng
- Full Text
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