Model theory and groups

Prof. Dr. Dr. Katrin Tent

Foto von Katrin Tent

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e-mail: tent@wwu.de

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Arbeitsgruppe

Recent preprints and publications

  1. with D. Macpherson, Omega-categorical pseudofinite groups, preprint.
  2. with M. Amelio, S. Andre, Non-split sharply 2-transitive groups of odd positive characteristic , preprint.
  3. with A.-M. Ammer, On the model theory of open generalized polygons, to appear in Model Theory, special issue for Boris Zilber.
  4. with A. Atkarskaya, E. Rips, The Burnside problem for odd exponent, preprint.
  5. with S. Andre, Simple sharply 2-transitive groups, Trans. AMS., Vol. 376, No 6, 3965-3993.
  6. Juliane Pässler, Forking independence in the free group, Master's thesis.
  7. with A. Panagiotopoulos, Universality vs. genericity and C4-free graphs, Eur. J. Comb. 106 (2022).
  8. with T. Clausen, Mock hyperbolic reflection spaces and Frobenius groups of finite Morley rank, to appear in the Special Issue of Model Theory dedicated to Ehud Hrushovski.
  9. with D. Segal, Defining R and G(R), to appear in J. Eur. Math. Soc (JEMS).
  10. with T. Clausen, On the geometry of sharply 2-transitive groups, preprint.
  11. with P. Calderoni, A. Kwiatkowska, Simplicity of the automorphism groups of ordered homogeneous structures, to appear in J. Alg.
  12. with A. Nies, D. Segal, Finite axiomatizability for profinite groups, to appear in Proc. Lond. Math. Soc.
  13. with A. Nies, Ph. Schlicht, Coarse groups, and the isomorphism problem for oligomorphic groups, to appear in J. Math. Logic
  14. with Z. Kabluchko, On weak Fraisse limits, preprint.
  15. with Z. Kabluchko, Universal-homogeneous structures are generic, preprint.
  16. with A. Kechris and A. Nies, The complexity of topological group isomorphism, J. Symbolic Logic, Published online: https://doi.org/10.1017/jsl.2018.25
  17. with T. Clausen, Some model theory of profinite group, in: Lectures in Model Theory, Münster Lectures in Mathematics, EMS Publishing.
  18. with M. Ziegler, An alternative axiomization of N-pseudospaces, preprint.
  19. with M. Scherff, Addendum to 'Sharply 2-transitive groups in characteristic 0', to appear in J. Reine Angew. Math. (Crelle)
  20. with E. Rips, Sharply 2-transitive groups in characteristic 0, to appear in J. Reine Angew. Math. (Crelle)
  21. with I. Müller, Building-like geometries of finite Morley Rank, to appear in J. Eur. Math. Soc.
  22. K. Tent, Infinite sharply multiply transitive groups, Jahresber. Dtsch. Math.-Ver. 118 (2016), no. 2, 75-85. DOI: 10.1365/s13291-016-0135-4. Available on arxiv.org/pdf/1603.02112.
  23. K. Tent, Sharply 3-transitive groups, Advances in Mathematics 286 (2016) 722 - 728.
  24. with D. Macpherson, Profinite groups with NIP theory and p-adic analytic groups, Bull. Lond. Math. Soc. 48 (2016), no. 6, 1037-1049.
  25. with E. Rips, Y. Segev, A sharply 2-transitive group without a non-trivial abelian normal subgroup, J. Eur. Math. Soc. (JEMS) 19 (2017), no. 10, 2895-2910.
  26. with M. Ziegler, Sharply 2-transitive groups, Adv. Geom. 16 (2016), no. 1, 131-134.
  27. with A. Nies, Describing finite groups by short first-order sentences, Israel J. Math. 221 (2017), no. 1, 85-115.
  28. K. Tent Low-tech notes on group extensions, notes.
  29. with D. Evans, Z. Ghadernezhad, Simplicity of the automorphism groups of some Hrushovski constructions, Annals of Pure and Applied Logic 167 (2016), pp. 22-48 DOI: 10.1016/j.apal.2015.09.002
  30. with C. Perin, A. Pillay, R. Sklinos, On groups and fields interpretable in torsion-free hyperbolic groups, Münster J. Math. 7 (2014), no. 2, 609 - 621.
  31. with Z. Ghadernezhad, New simple groups with a BN-pair, J. Alg. 414 (2014) 72 - 81.
  32. with B. Zilber, A non-desarguesian projective plane, preprint.
  33. The free pseudospace is n-ample, but not (n+1)-ample, J. Symbolic Logic, 79, (2014) 410-428.
  34. with M. Ziegler, The isometry group of the bounded Urysohn space is simple, Bulletin of the London Mathematical Society 2013; doi: 10.1112/blms/bdt035
  35. with M. Ziegler, On the isometry group of the Urysohn space, Journal of the London Mathematical Society 2012; doi: 10.1112/jlms/jds027.
  36. Strongly transitive multiple trees, Arch. Math.,Volume 98, Number 6 (2012), 583-590, DOI: 10.1007/s00013-012-0393-z
  37. with M. Ziegler, Automorphisms with comeager conjugacy class, notes.
  38. with A. Ould Houcine, Ampleness in the free group, preprint.
  39. K. Tent, Stationary Independence in Right-angled buildings, slides, Nov. 2011
  40. with D. Macpherson, Pseudofinite groups with NIP theory, Groups and Model Theory, Contemp. Math. Series, Vol. 576, AMS, 2012.

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