Suppose that $M$ is a compact, orientable three-manifold such
that each piece of the canonical decomposition along embedded
spheres, discs and tori admits one of the eight geometric structures
of three-manifolds in the sense of Thurston. Let $G$ be a subgroup
of $\pi_1(M)$. If $G$ has property $T$ in the sense of Kazhdan,
then $G$ is finite.
Publié le : 1999-09-14
Classification:
Property $T$ of Kazhdan,
three-manifold groups,
property $FA$ of Serre,
57M05,
22D10,
20E08
@article{1148393858,
author = {Fujiwara, Koji},
title = {3-manifold groups and property $T$ of Kazhdan},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {75},
number = {10},
year = {1999},
pages = { 103-104},
language = {en},
url = {http://dml.mathdoc.fr/item/1148393858}
}
Fujiwara, Koji. 3-manifold groups and property $T$ of Kazhdan. Proc. Japan Acad. Ser. A Math. Sci., Tome 75 (1999) no. 10, pp. 103-104. http://gdmltest.u-ga.fr/item/1148393858/