Weak Tits alternative for groups acting geometrically on buildings
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Weak Tits alternative for groups acting geometrically on buildings. / Karpinski, Chris; Osajda, Damian; Przytycki, Piotr.
In: Journal of Algebra, 2024.Research output: Contribution to journal › Journal article › Research › peer-review
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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