Homotopy type of the complex of free factors of a free group

Brück, Benjamin; Gupta, Radhika

Homotopy type of the complex of free factors of a free group

Brück B, Gupta R (2020)
Proceedings of the London Mathematical Society 121(6): 1737-1765.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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plms.12381.brueck.pdf 1.15 MB

DOI

https://doi.org/10.1112/plms.12381

URN

urn:nbn:de:0070-pub-29517296

Autor*in

Brück, Benjamin^UniBi; Gupta, Radhika

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We show that the complex of free factors of a free group of rank 𝔫⩾2 is homotopy equivalent to a wedge of spheres of dimension 𝔫−2. We also prove that for 𝔫⩾2, the complement of (unreduced) Outer space in the free splitting complex is homotopy equivalent to the complex of free factor systems and moreover is (𝔫−2)‐connected. In addition, we show that for every non‐trivial free factor system of a free group, the corresponding relative free splitting complex is contractible.

Erscheinungsjahr

2020

Zeitschriftentitel

Proceedings of the London Mathematical Society

Band

121

Ausgabe

Seite(n)

1737-1765

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

0024-6115

eISSN

1460-244X

Page URI

https://pub.uni-bielefeld.de/record/2951729

Zitieren

Brück B, Gupta R. Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society. 2020;121(6):1737-1765.

Brück, B., & Gupta, R. (2020). Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society, 121(6), 1737-1765. https://doi.org/10.1112/plms.12381

Brück, Benjamin, and Gupta, Radhika. 2020. “Homotopy type of the complex of free factors of a free group”. Proceedings of the London Mathematical Society 121 (6): 1737-1765.

Brück, B., and Gupta, R. (2020). Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society 121, 1737-1765.

Brück, B., & Gupta, R., 2020. Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society, 121(6), p 1737-1765.

B. Brück and R. Gupta, “Homotopy type of the complex of free factors of a free group”, Proceedings of the London Mathematical Society, vol. 121, 2020, pp. 1737-1765.

Brück, B., Gupta, R.: Homotopy type of the complex of free factors of a free group. Proceedings of the London Mathematical Society. 121, 1737-1765 (2020).

Brück, Benjamin, and Gupta, Radhika. “Homotopy type of the complex of free factors of a free group”. Proceedings of the London Mathematical Society 121.6 (2020): 1737-1765.

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