Kazhdan groups with infinite outer automorphism group

被引：16

作者：

Ollivier, Yann

Wise, Daniel T.

机构：

[1] Ecole Normale Super Lyon, CNRS, UMPA, F-69364 Lyon 7, France

[2] McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 05期

关键词：

outer automorphism groups; property T; small cancellation; random groups;

D O I：

10.1090/S0002-9947-06-03941-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each countable group Q we produce a short exact sequence 1 -> N -> G -> Q -> 1 where G has a graphical (1)/(6) presentation and N is f.g. and satisfies property T. As a consequence we produce a group N with property T such that Out( N) is infinite. Using the tools developed we are also able to produce examples of non-Hopfian and non-coHopfian groups with property T. One of our main tools is the use of random groups to achieve certain properties.

引用

页码：1959 / 1976

页数：18

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