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Recovering a group from few orbits
November 26, 2024 Β· Declared Dead Β· π Applied and Computational Harmonic Analysis
"No code URL or promise found in abstract"
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Authors
Dustin G. Mixon, Brantley Vose
arXiv ID
2411.17434
Category
math.RT
Cross-listed
cs.IT
Citations
0
Venue
Applied and Computational Harmonic Analysis
Last Checked
3 months ago
Abstract
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.
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