Cubulating random groups at density less than 1/6

Yann Ollivier; Daniel T. Wise

doi:10.1090/S0002-9947-2011-05197-4

Cubulating random groups at density less than 1/6

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that random groups at density less than 1/6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1/5 have codimension-1 subgroups. In particular, Property (T) fails to hold at density less than 1/5.

Original language	English
Pages (from-to)	4701-4733
Number of pages	33
Journal	Transactions of the American Mathematical Society
Volume	363
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9947-2011-05197-4
State	Published - 28 Mar 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-2011-05197-4

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title = "Cubulating random groups at density less than 1/6",

abstract = "We prove that random groups at density less than 1/6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1/5 have codimension-1 subgroups. In particular, Property (T) fails to hold at density less than 1/5.",

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AU - Wise, Daniel T.

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AB - We prove that random groups at density less than 1/6 act freely and cocompactly on CAT(0) cube complexes, and that random groups at density less than 1/5 have codimension-1 subgroups. In particular, Property (T) fails to hold at density less than 1/5.

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U2 - 10.1090/S0002-9947-2011-05197-4

DO - 10.1090/S0002-9947-2011-05197-4

M3 - مقالة

SN - 0002-9947

VL - 363

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EP - 4733

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 9

ER -

Cubulating random groups at density less than 1/6

Abstract

All Science Journal Classification (ASJC) codes

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