Geodesic
Subspace arrangements and property T
Martin Kassabov1 orcid
1Cornell University, Ithaca, United States
Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 445-477

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DOI

We reformulate and extend the geometric method for proving the Kazhdan property T developed by Dymara and Januszkiewicz and used by Ershov and Jaikin. The main result says that a group G generated by finite subgroups Gi​ has property T if the group generated by each pair of subgroups has property T and sufficiently large Kazhdan constant. Essentially, the same result was proven by Dymara and Januszkiewicz; however our bound for “sufficiently large” is significantly better.
DOI : 10.4171/ggd/134
Classification : 20-XX, 15-XX, 51-XX, 00-XX
Mots-clés : Property T, Kazhdan constants, Coxeter groups

Martin Kassabov  1

1 Cornell University, Ithaca, United States 
Martin Kassabov. Subspace arrangements and property T. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 445-477. doi: 10.4171/ggd/134
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     title = {Subspace arrangements and property {T}},
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     pages = {445--477},
     year = {2011},
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     number = {2},
     doi = {10.4171/ggd/134},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/134/}
}
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