Recovering a group from few orbits
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912133953880064 |
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| author | Mixon, Dustin G. Vose, Brantley |
| author_facet | Mixon, Dustin G. Vose, Brantley |
| contents | For an unknown finite group $G$ of automorphisms of a finite-dimensional Hilbert space, we find sharp bounds on the number of generic $G$-orbits needed to recover $G$ up to group isomorphism, as well as the number needed to recover $G$ as a concrete set of automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recovering a group from few orbits Mixon, Dustin G. Vose, Brantley Representation Theory Information Theory For an unknown finite group $G$ of automorphisms of a finite-dimensional Hilbert space, we find sharp bounds on the number of generic $G$-orbits needed to recover $G$ up to group isomorphism, as well as the number needed to recover $G$ as a concrete set of automorphisms. |
| title | Recovering a group from few orbits |
| topic | Representation Theory Information Theory |
| url | https://arxiv.org/abs/2411.17434 |