In this thesis, we introduce the concepts of base size, orbit dimension, and metric dimension, and show how they relate. We then focus on orbit dimension for the action of finite permutation groups on subgroups of k elements of {1, …, n}, with a deeper analysis for k = 3.
In this thesis, we introduce the concepts of base size, orbit dimension, and metric dimension, and show how they relate. We then focus on orbit dimension for the action of finite permutation groups on subgroups of k elements of {1, …, n}, with a deeper analysis for k = 3.
Orbit dimension and base size of finite permutation groups
DRERA, ALICE
2025/2026
Abstract
In this thesis, we introduce the concepts of base size, orbit dimension, and metric dimension, and show how they relate. We then focus on orbit dimension for the action of finite permutation groups on subgroups of k elements of {1, …, n}, with a deeper analysis for k = 3.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/115704