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Computing the scale Willis, George
Description
The scale of the endomorphism $\alpha$ of the totally disconnected, locally compact (t.d.l.c.) group $G$ is a positive integer defined to be the minimum of the indices $[\alpha(U) : \alpha(U)\cap U]$, where $U$ ranges over the compact open subgroups of $G$. Existing methods for computing the scale draw on analogies with computing eigenvalues in linear algebra. These methods generally do not match the effectiveness of linear algebra however, the principal obstacle being the lack of a general description of t.d.l.c.~groups.
Item Metadata
Title |
Computing the scale
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-06-13T14:41
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Description |
The scale of the endomorphism $\alpha$ of the totally disconnected, locally compact (t.d.l.c.) group $G$ is a positive integer defined to be the minimum of the indices $[\alpha(U) : \alpha(U)\cap U]$, where $U$ ranges over the compact open subgroups of $G$. Existing methods for computing the scale draw on analogies with computing eigenvalues in linear algebra. These methods generally do not match the effectiveness of linear algebra however, the principal obstacle being the lack of a general description of t.d.l.c.~groups.
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Extent |
56 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: The University of Newcastle
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Series | |
Date Available |
2017-12-11
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0361780
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International