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The second bounded cohomology of an amalgamated free product of groups
Author(s):
Koji
Fujiwara
Journal:
Trans. Amer. Math. Soc.
352
(2000),
1113-1129.
MSC (1991):
Primary 20F32;
Secondary 55U99, 20E06.
Posted:
July 7, 1999
MathSciNet review:
1491864
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Abstract:
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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Additional Information:
Koji
Fujiwara
Affiliation:
Department of Mathematics, Keio University, Yokohama, 223 Japan
Address at time of publication:
Math Institute, Tohoku Univeristy, Sendai, 980-8578, Japan
Email:
fujiwara@math.tohoku.ac.jp
DOI:
10.1090/S0002-9947-99-02282-5
PII:
S 0002-9947(99)02282-5
Keywords:
Bounded cohomology,
ends of groups
Received by editor(s):
February 20, 1996
Received by editor(s) in revised form:
November 7, 1997
Posted:
July 7, 1999
Additional Notes:
Most of the work was done when the author visited MSRI supported in part by NSF grant DMS-9022140 and a JSPS grant. He is supported in part by The Inamori Foundation.
Dedicated:
Dedicated to Professor John Stallings for his 60th birthday
Copyright of article:
Copyright
1999,
American Mathematical Society
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