The second bounded cohomology

of an amalgamated free product of groups

Author:
Koji Fujiwara

Journal:
Trans. Amer. Math. Soc. **352** (2000), 1113-1129

MSC (1991):
Primary 20F32; Secondary 55U99, 20E06.

DOI:
https://doi.org/10.1090/S0002-9947-99-02282-5

Published electronically:
July 7, 1999

MathSciNet review:
1491864

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-99-02282-5

Keywords:
Bounded cohomology,
ends of groups

Received by editor(s):
February 20, 1996

Received by editor(s) in revised form:
November 7, 1997

Published electronically:
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

Article copyright:
© Copyright 1999
American Mathematical Society