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http://dx.doi.org/10.5831/HMJ.2010.32.2.227

SOME RESULTS ON THE SECOND BOUNDED COHOMOLOGY OF A PERFECT GROUP  

Park, Hee-Sook (ASARC KAIST)
Publication Information
Honam Mathematical Journal / v.32, no.2, 2010 , pp. 227-237 More about this Journal
Abstract
For a discrete group G, the kernel of a homomorphism from bounded cohomology $\hat{H}^*(G)$ of G to the ordinary cohomology $H^*(G)$ of G is called the singular part of $\hat{H}^*(G)$. We give some results on the space of the singular part of the second bounded cohomology of G. Also some results on the second bounded cohomology of a uniformly perfect group are given.
Keywords
The second bounded cohomology; perfect groups;
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1 A topologist's view of perfect and acyclic groups, Invitations to geometry and topology, Oxf. Grad. Texts Math., 7, Oxford Univ. Press, Oxford, 2002, 1-28.
2 K. Brown, Cohomology of Groups, Springer-Verlag, 1994
3 R. Grigorchuk, Some results on bounded cohomology, LMS, 202, 1993, 111-163.
4 N. Ivanov, Foundation of theory of bounded cohomology, Journal of Soviet Math., 37, 1987, 1090-1114.   DOI
5 S. Matsumoto, S. Morita, Bounded cohomology of certain groups of homomorphisms, Proc. Amer. Math. Soc., 94, 1985, 539-544.   DOI   ScienceOn
6 N. Monod, Continuous bounded cohomology of locally compact groups, Lecture Notes in Masthematics 1758, Springer, 2001.
7 G. Noskov, The Hochschild-Serre spectral sequence for bounded cohomology, Contemp. Math. 131, 1992, 613-629.
8 L.N. Vaserstein, Commutators in Linear groups, K-Theory 2, 761-767, 1989.   DOI