Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Geometric and Measured Group Theory 2

2018/30/M/ST1/00668

Keywords:

Tits Alternative Coxeter group Artin group Isomorphism Problem biautomatic systolic group tame automorphism group Gromov boundary hyperfiniteness

Descriptors:

  • ST1_5:
  • ST1_6:
  • ST1_1:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Damian Osajda 

Number of co-investigators in the project: 20

Call: HARMONIA 10 - announced on 2018-06-15

Amount awarded: 462 000 PLN

Project start date (Y-m-d): 2019-04-04

Project end date (Y-m-d): 2024-04-03

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (20)
  1. Hyperfiniteness of boundary actions of hyperbolic groups
    Authors:
    Timothée Marquis, Marcin Sabok
    Academic press:
    Mathematische Annalen (rok: 2020, tom: 377, strony: 1129-1153), Wydawca: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
    Status:
    Published
    DOI:
    10.1007/s00208-020-02001-9 - link to the publication
  2. Computable Paradoxical Decompositions
    Authors:
    Karol Duda, Aleksander Ivanov
    Academic press:
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION (rok: 2022, tom: 32, strony: 953-967), Wydawca: WORLD SCIENTIFIC PUBL CO PTE LTD
    Status:
    Published
    DOI:
    10.1142/S0218196722500400 - link to the publication
  3. Acylindrical actions for two-dimensional Artin groups of hyperbolic type
    Authors:
    Alexandre Martin, Piotr Przytycki
    Academic press:
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES (rok: 2022, tom: 17, strony: 13099-13127), Wydawca: OXFORD UNIV PRESS, GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
    Status:
    Published
    DOI:
    10.1093/imrn/rnab068 - link to the publication
  4. Probabilistic programming semantics for name generation
    Authors:
    Marcin Sabok, Sam Staton, Dario Stein, Michael Wolman
    Academic press:
    Proceedings of the ACM on Programming Languages (rok: 2021, tom: 5, strony: 45686), Wydawca: ACM
    Status:
    Published
    DOI:
    10.1145/3434292 - link to the publication
  5. Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
    Authors:
    Anne Lonjou, Piotr Przytycki, and Christian Urech
    Academic press:
    Journal de l'École polytechnique — Mathématiques (rok: 2024, tom: 11, strony: 1011-1028), Wydawca: L'École polytechnique
    Status:
    Published
    DOI:
    10.5802/jep.271 - link to the publication
  6. Tits Alternative for groups acting properly on 2-dimensional recurrent complexes
    Authors:
    Damian Osajda, Piotr Przytycki
    Academic press:
    Advances in Mathematics (rok: 2021, tom: 391, strony: 45679), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 US
    Status:
    Published
    DOI:
    10.1016/j.aim.2021.107976 - link to the publication
  7. Abelian subgroups of 2-dimensional Artin groups
    Authors:
    Alexandre Martin, Piotr Przytycki
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1338-1350), Wydawca: WILEY, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
    Status:
    Published
    DOI:
    10.1112/blms.12500 - link to the publication
  8. Unicorn paths and hyperfiniteness for the mapping class group
    Authors:
    Piotr Przytycki, Marcin Sabok
    Academic press:
    Forum of Mathematics Sigma (rok: 2021, tom: 9, strony: 45667), Wydawca: CAMBRIDGE UNIV PRESS, EDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND
    Status:
    Published
    DOI:
    10.1017/fms.2021.34 - link to the publication
  9. Tits alternative for Artin groups of type FC
    Authors:
    Alexandre Martin, Piotr Przytycki
    Academic press:
    Journal of Group Theory (rok: 2020, tom: 23, strony: 563-573), Wydawca: WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
    Status:
    Published
    DOI:
    10.1515/jgth-2019-0135 - link to the publication
  10. Weak Tits alternative for groups acting geometrically on buildings
    Authors:
    Chris Karpinski, Damian Osajda, and Piotr Przytycki
    Academic press:
    Journal of Algebra (rok: 2024, tom: 656, strony: 259-275), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2024.05.015 - link to the publication
  11. Measurable Hall's theorem for actions of abelian groups
    Authors:
    Tomasz Cieśla, Marcin Sabok
    Academic press:
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (rok: 2022, tom: 24, strony: 2751-2773), Wydawca: EUROPEAN MATHEMATICAL SOC-EMS
    Status:
    Published
    DOI:
    10.4171/JEMS/1164 - link to the publication
  12. 2-dimensional Coxeter groups are biautomatic
    Authors:
    Zachary Munro, Damian Osajda, Piotr Przytycki
    Academic press:
    Proceedings of the Royal Society of Edinburgh Section A (rok: 2022, tom: 152, strony: 382-401), Wydawca: CAMBRIDGE UNIV PRESS, EDINBURGH BLDG, SHAFTESBURY RD, CB2 8RU CAMBRIDGE, ENGLAND
    Status:
    Published
    DOI:
    10.1017/prm.2021.11 - link to the publication
  13. Measurable Hall's theorem for actions of abelian groups
    Authors:
    Tomasz Cieśla, Marcin Sabok
    Academic press:
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (rok: 2022, tom: 24, strony: 2751-2773), Wydawca: EUROPEAN MATHEMATICAL SOC-EMS
    Status:
    Published
    DOI:
    10.4171/JEMS/1164 - link to the publication
  14. Tits Alternative for 2-dimensional CAT(0) complexes
    Authors:
    Damian Osajda, Piotr Przytycki
    Academic press:
    FORUM OF MATHEMATICS PI (rok: 2022, tom: 10, strony: 45676), Wydawca: CAMBRIDGE UNIV PRESS
    Status:
    Published
    DOI:
    10.1017/fmp.2022.20 - link to the publication
  15. Dihedral twists in the Twist Conjecture
    Authors:
    Piotr Przytycki
    Academic press:
    Mathematische Zeitschrift (rok: 2021, tom: 299, strony: 1741-1765), Wydawca: SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY
    Status:
    Published
    DOI:
    10.1007/s00209-021-02743-5 - link to the publication
  16. On decidability of amenability in computable groups
    Authors:
    Karol Duda, Aleksander Ivanov
    Academic press:
    Archive for Mathematical Logic (rok: 2022, tom: online, strony: 45669), Wydawca: Springer
    Status:
    Published
    DOI:
    0.1007/s00153-022-00819-5 - link to the publication
  17. On lifting invariant probability measures
    Authors:
    Tomasz Cieśla
    Academic press:
    Bulletin Polish Acad. Sci. Math. (rok: 2020, tom: 68, strony: 69-74), Wydawca: Polish Acad. Sci. Inst. Math.
    Status:
    Published
    DOI:
    10.4064/ba200225-9-3 - link to the publication
  18. Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
    Authors:
    Anne Lonjou, Piotr Przytycki, and Christian Urech
    Academic press:
    Journal de l'École polytechnique — Mathématiques (rok: 2024, tom: 11, strony: 1011-1028), Wydawca: L'École polytechnique
    Status:
    Published
    DOI:
    10.5802/jep.271 - link to the publication
  19. Monochromatic products and sums in the rationals
    Authors:
    Matt Bowen, Marcin Sabok
    Status:
    Accepted for publication
  20. A pair of Garside shadows
    Authors:
    Piotr Przytycki and Yeeka Yau
    Status:
    Accepted for publication

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