The second bounded cohomology of an amalgamated free product of groups
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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.References
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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
- MR Author ID: 267217
- Email: fujiwara@math.tohoku.ac.jp
- 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.
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1491864
Dedicated: Dedicated to Professor John Stallings for his 60th birthday