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Edge-transitive maps Jones, Gareth
Description
In 1997 Graver and Watkins partitioned edge-transitive maps into 14 classes, distinguished by the quotient of each map by its full automorphism group. These classes include those of regular, chiral and just-edge-transitive maps. I shall describe the possible topological and combinatorial properties of the maps in these classes, including maps with boundary, together with the possibilities for their automorphism groups. In the case of finite simple groups, the latter builds on results of Nuzhin and others relevant to regular maps (with a small but important correction), and more recently of Leemans and Liebeck for chiral maps.
Item Metadata
Title |
Edge-transitive maps
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-08-21T11:34
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Description |
In 1997 Graver and Watkins partitioned edge-transitive maps into 14 classes, distinguished by the quotient of each map by its full automorphism group. These classes include those of regular, chiral and just-edge-transitive maps. I shall describe the possible topological and combinatorial properties of the maps in these classes, including maps with boundary, together with the possibilities for their automorphism groups. In the case of finite simple groups, the latter builds on results of Nuzhin and others relevant to regular maps (with a small but important correction), and more recently of Leemans and Liebeck for chiral maps.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Southampton
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Series | |
Date Available |
2018-03-23
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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 |
10.14288/1.0364419
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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