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The distinguishing number of semiprimitive groups Harper, Scott
Description
The distinguishing number of a permutation group $G \leq \Sym(X)$ is the smallest number of colours required to colour the points of $X$ such that only the identity of $G$ preserves the colouring. The distinguishing number of a graph, in the traditional sense, is simply the distinguishing number of its automorphism group. Seress proved that every primitive group of degree $n$ other than $\Alt(n)$ and $\Sym(n)$ has distinguishing number 2, except for a short list of known examples (with distinguishing number 3 or 4). In this talk, I will overview previous work on the distinguishing number of groups, before discussing recent joint work with Alice Devillers and Luke Morgan on the distinguishing number of semiprimitive groups. I will highlight the application of our result to graphs.
Item Metadata
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The distinguishing number of semiprimitive groups
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-20T11:32
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Description |
The distinguishing number of a permutation group $G \leq \Sym(X)$ is the smallest number of colours required to colour the points of $X$ such that only the identity of $G$ preserves the colouring. The distinguishing number of a graph, in the traditional sense, is simply the distinguishing number of its automorphism group. Seress proved that every primitive group of degree $n$ other than $\Alt(n)$ and $\Sym(n)$ has distinguishing number 2, except for a short list of known examples (with distinguishing number 3 or 4). In this talk, I will overview previous work on the distinguishing number of groups, before discussing recent joint work with Alice Devillers and Luke Morgan on the distinguishing number of semiprimitive groups. I will highlight the application of our result to graphs.
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Extent |
30.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Bristol
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Series | |
Date Available |
2019-03-20
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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 |
10.14288/1.0377186
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Graduate
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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