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Finite phylogenetic complexity of Z<sub>p</sub> and invariants for Z<sub>3</sub>

Finite phylogenetic complexity of Zp and invariants for Z3

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MICHALEK, Mateusz, 2017. Finite phylogenetic complexity of Zp and invariants for Z3. In: European Journal of Combinatorics. Elsevier. 59, pp. 169-186. ISSN 0195-6698. eISSN 1095-9971. Available under: doi: 10.1016/j.ejc.2016.08.007

@article{Michalek2017Finit-52581, title={Finite phylogenetic complexity of Zp and invariants for Z3}, year={2017}, doi={10.1016/j.ejc.2016.08.007}, volume={59}, issn={0195-6698}, journal={European Journal of Combinatorics}, pages={169--186}, author={Michalek, Mateusz} }

We study phylogenetic complexity of finite abelian groups - an invariant introduced by Sturmfels and Sullivant. The invariant is hard to compute - so far it was only known for Z<sub>2</sub>, in which case it equals 2. We prove that phylogenetic complexity of any group Z<sub>p</sub>, where p is prime, is finite. We also show, as conjectured by Sturmfels and Sullivant, that the phylogenetic complexity of Z<sub>3</sub> equals 3. terms-of-use Michalek, Mateusz 2021-01-28T09:01:36Z Michalek, Mateusz 2017 eng Finite phylogenetic complexity of Z<sub>p</sub> and invariants for Z<sub>3</sub> 2021-01-28T09:01:36Z

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