Weak Tits alternative for groups acting geometrically on buildings

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Standard

Weak Tits alternative for groups acting geometrically on buildings. / Karpinski, Chris; Osajda, Damian; Przytycki, Piotr.

I: Journal of Algebra, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Karpinski, C, Osajda, D & Przytycki, P 2024, 'Weak Tits alternative for groups acting geometrically on buildings', Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2024.05.015

APA

Karpinski, C., Osajda, D., & Przytycki, P. (2024). Weak Tits alternative for groups acting geometrically on buildings. Journal of Algebra. https://doi.org/10.1016/j.jalgebra.2024.05.015

Vancouver

Karpinski C, Osajda D, Przytycki P. Weak Tits alternative for groups acting geometrically on buildings. Journal of Algebra. 2024. https://doi.org/10.1016/j.jalgebra.2024.05.015

Author

Karpinski, Chris ; Osajda, Damian ; Przytycki, Piotr. / Weak Tits alternative for groups acting geometrically on buildings. I: Journal of Algebra. 2024.

Bibtex

@article{93503c5e35b94cb19dbc60b80b28148d,
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.",
keywords = "Buildings, Coxeter groups, Tits alternative",
author = "Chris Karpinski and Damian Osajda and Piotr Przytycki",
note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",
year = "2024",
doi = "10.1016/j.jalgebra.2024.05.015",
language = "English",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Weak Tits alternative for groups acting geometrically on buildings

AU - Karpinski, Chris

AU - Osajda, Damian

AU - Przytycki, Piotr

N1 - Publisher Copyright: © 2024 The Author(s)

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

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 395147058