Weak Tits alternative for groups acting geometrically on buildings

Chris Karpinski; Damian Osajda; Piotr Przytycki

doi:10.1016/j.jalgebra.2024.05.015

Weak Tits alternative for groups acting geometrically on buildings

Chris Karpinski, Damian Osajda, Piotr Przytycki^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

We show that if a group G acts geometrically by type-preserving automorphisms on a building, then G satisfies the weak Tits alternative, namely, that G is either virtually abelian or contains a non-abelian free group.

Originalsprog	Engelsk
Tidsskrift	Journal of Algebra
Sider (fra-til)	259-275
ISSN	0021-8693
DOI	https://doi.org/10.1016/j.jalgebra.2024.05.015
Status	Udgivet - 2024

Bibliografisk note

Publisher Copyright:
© 2024 The Author(s)

Adgang til dokumentet

10.1016/j.jalgebra.2024.05.015Licens: CC BY-NC

FulltextForlagets udgivne version, 45,8 KBLicens: CC BY-NC

Citationsformater

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title = "Weak Tits alternative for groups acting geometrically on buildings",

abstract = "We show that if a group G acts geometrically by type-preserving automorphisms on a building, then G satisfies the weak Tits alternative, namely, that G is either virtually abelian or contains a non-abelian free group.",

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pages = "259--275",

journal = "Journal of Algebra",

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T1 - Weak Tits alternative for groups acting geometrically on buildings

AU - Karpinski, Chris

AU - Osajda, Damian

AU - Przytycki, Piotr

PY - 2024

Y1 - 2024

N2 - We show that if a group G acts geometrically by type-preserving automorphisms on a building, then G satisfies the weak Tits alternative, namely, that G is either virtually abelian or contains a non-abelian free group.

AB - We show that if a group G acts geometrically by type-preserving automorphisms on a building, then G satisfies the weak Tits alternative, namely, that G is either virtually abelian or contains a non-abelian free group.

KW - Buildings

KW - Coxeter groups

KW - Tits alternative

U2 - 10.1016/j.jalgebra.2024.05.015

DO - 10.1016/j.jalgebra.2024.05.015

M3 - Journal article

AN - SCOPUS:85195501651

SN - 0021-8693

SP - 259

EP - 275

JO - Journal of Algebra

JF - Journal of Algebra

ER -