On the profinite rigidity of surface groups and surface words

Henry Wilton

doi:10.5802/crmath.121

Théorie des groupes

On the profinite rigidity of surface groups and surface words

Henry Wilton ¹

¹ DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WB, UK.

Comptes Rendus. Mathématique, Volume 359 (2021) no. 2, pp. 119-122.

Résumé

Surface groups are determined among limit groups by their profinite completions. As a corollary, the set of surface words in a free group is closed in the profinite topology.

Reçu le : 2020-09-03
Révisé le : 2020-09-23
Accepté le : 2020-10-15
Publié le : 2021-03-17

DOI : 10.5802/crmath.121

Affiliations des auteurs :

Henry Wilton ¹

¹ DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WB, UK.

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {On the profinite rigidity of surface groups and surface words},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {119--122},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {2},
     year = {2021},
     doi = {10.5802/crmath.121},
     language = {en},
}

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Henry Wilton. On the profinite rigidity of surface groups and surface words. Comptes Rendus. Mathématique, Volume 359 (2021) no. 2, pp. 119-122. doi : 10.5802/crmath.121. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.121/

Bibliographie
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