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Some examples of groups (not)supporting regular positive cones Rivas, Cristóbal
Description
A positive cone in a finitely generated group is called regular if it can be represented by a regular language over the group-generators. In this talk, I will discuss examples and non-examples of groups supporting regular positive cones. For instance we will see that every left-orderable polycyclic group admits a regular positive cone, but this is no longer true for the class solvable groups. I will also try to relate to presence of regular positive cone with the presence/absence of isolated orders.
Item Metadata
Title |
Some examples of groups (not)supporting regular positive cones
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-06-17T16:31
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Description |
A positive cone in a finitely generated group is called regular if it can be represented by a regular language over the group-generators.
In this talk, I will discuss examples and non-examples of groups supporting regular positive cones. For instance we will see that every left-orderable polycyclic group admits a regular positive cone, but this is no longer true for the class solvable groups. I will also try to relate to presence of regular positive cone with the presence/absence of isolated orders.
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Extent |
42.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universidad de Santiago de Chile
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Series | |
Date Available |
2019-12-15
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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 |
10.14288/1.0387105
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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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