The second bounded cohomology of an amalgamated free product of groups

被引：23
|
作者：
Fujiwara, K
机构：
[1] Keio Univ, Dept Math, Yokohama, Kanagawa 223, Japan
[2] MSRI, Berkeley, CA USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 03期
关键词：
bounded cohomology; ends of groups;
D O I：
10.1090/S0002-9947-99-02282-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the second bounded cohomology of an amalgamated free product of groups, and an HNN extension of a group. As an application, we show that a group with infinitely many ends has infinite dimensional second bounded cohomology.
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页码：1113 / 1129
页数：17
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