| title: |
| Generic symmetries of group representations |
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| contributing persons: |
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| contributing corporate bodies: |
| Universität Rostock[Grad-verleihende Institution] |
 |
38329-6 |
| Universität Rostock, Mathematisch-Naturwissenschaftliche Fakultät[Grad-verleihende Institution] |
|
2147083-2 |
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| abstract: |
|
In the seventies, László Babai has classified all finite groups isomorphic to Euclidean
symmetry groups of vertex transitive polytopes. In the same paper, Babai asked for
a related classification of the affine symmetry groups of orbit polytopes. The present
dissertation introduces an algebraic theory of "generic symmetries" of group representations
which is capable not only to reprove Babai's classical result, but also to answer
Babai's question.
[English] |
|
In den siebziger Jahren klassifizierte László Babai alle endlichen Gruppen, die als
Euklidische Symmetriegruppen eckentransitiver Polytope entstehen. Im selben Paper
fragte Babai nach einer verwandten Klassifikation aller affinen Symmetriegruppen von
Orbitpolytopen. Die vorliegende Dissertation stellt eine algebraische Theorie über
"generische Symmetrien" von Gruppendarstellungen vor, die nicht nur in der Lage ist,
Babais Klassifikation auf neue Art zu beweisen, sondern ebenfalls eine Antwort auf
Babais Frage gibt.
[German] |
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| document type: |
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| institution: |
| Faculty of Mathematics and Natural Sciences |
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| language: |
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| subject class (DDC): |
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publication /
production: |
Rostock
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Rostock: Universität Rostock
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|
2018
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|
| statement of responsibility: |
| vorgelegt von Erik Friese |
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| identifiers: |
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| access condition: |
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| license/rights statement: |
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| RosDok id: |
rosdok_disshab_0000002038 |
| created / modified: |
18.01.2019 / 08.08.2023
|
| metadata license: |
The metadata of this document was dedicated to the public domain
(CC0 1.0 Universal Public Domain Dedication). |
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