Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes
We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2022-01-01
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| Series: | Forum of Mathematics, Pi |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050508622000208/type/journal_article |
| _version_ | 1811156268358828032 |
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| author | Damian Osajda Piotr Przytycki |
| author_facet | Damian Osajda Piotr Przytycki |
| author_sort | Damian Osajda |
| collection | DOAJ |
| description | We prove the Tits Alternative for groups acting on
$2$
-dimensional
$\mathrm {CAT}(0)$
complexes with a bound on the order of the cell stabilisers. |
| first_indexed | 2024-04-10T04:48:45Z |
| format | Article |
| id | doaj.art-dad0a7a1452441adbfdb1d6462c802ff |
| institution | Directory Open Access Journal |
| issn | 2050-5086 |
| language | English |
| last_indexed | 2024-04-10T04:48:45Z |
| publishDate | 2022-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Pi |
| spelling | doaj.art-dad0a7a1452441adbfdb1d6462c802ff2023-03-09T12:34:22ZengCambridge University PressForum of Mathematics, Pi2050-50862022-01-011010.1017/fmp.2022.20Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexesDamian Osajda0https://orcid.org/0000-0002-5412-8443Piotr Przytycki1https://orcid.org/0000-0002-4251-9383Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50–384 Wrocław, Poland Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland; E-mail:Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal QC H3A 0B9, CanadaWe prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers.https://www.cambridge.org/core/product/identifier/S2050508622000208/type/journal_article20F65 |
| spellingShingle | Damian Osajda Piotr Przytycki Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes Forum of Mathematics, Pi 20F65 |
| title | Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes |
| title_full | Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes |
| title_fullStr | Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes |
| title_full_unstemmed | Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes |
| title_short | Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes |
| title_sort | tits alternative for 2 dimensional mathrm cat 0 complexes |
| topic | 20F65 |
| url | https://www.cambridge.org/core/product/identifier/S2050508622000208/type/journal_article |
| work_keys_str_mv | AT damianosajda titsalternativefor2dimensionalmathrmcat0complexes AT piotrprzytycki titsalternativefor2dimensionalmathrmcat0complexes |