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- W4293432191 abstract "We associate with every locally expanding self-covering $f:Mto M$ of a compact path connected metric space a finitely presented group $V_f$. We prove that this group is a complete invariant of the dynamical system: two groups $V_{f_1}$ and $V_{f_2}$ are isomorphic as abstract groups if and only if the corresponding dynamical systems are topologically conjugate. We also show that the commutator subgroup of $V_f$ is simple, and give a topological interpretation of $V_f/V_f'$." @default.
- W4293432191 created "2022-08-29" @default.
- W4293432191 creator A5027931454 @default.
- W4293432191 date "2013-12-19" @default.
- W4293432191 modified "2023-09-27" @default.
- W4293432191 title "Finitely presented groups associated with expanding maps" @default.
- W4293432191 doi "https://doi.org/10.48550/arxiv.1312.5654" @default.
- W4293432191 hasPublicationYear "2013" @default.
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