SOME RESULTS ON THE SECOND BOUNDED COHOMOLOGY OF A PERFECT GROUP Park, Hee-Sook;
For a discrete group G, the kernel of a homomorphism from bounded cohomology of G to the ordinary cohomology of G is called the singular part of . 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.
The second bounded cohomology;perfect groups;
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.
K. Brown, Cohomology of Groups, Springer-Verlag, 1994
R. Grigorchuk, Some results on bounded cohomology, LMS, 202, 1993, 111-163.
N. Ivanov, Foundation of theory of bounded cohomology, Journal of Soviet Math., 37, 1987, 1090-1114.
S. Matsumoto, S. Morita, Bounded cohomology of certain groups of homomorphisms, Proc. Amer. Math. Soc., 94, 1985, 539-544.
N. Monod, Continuous bounded cohomology of locally compact groups, Lecture Notes in Masthematics 1758, Springer, 2001.
G. Noskov, The Hochschild-Serre spectral sequence for bounded cohomology, Contemp. Math. 131, 1992, 613-629.
L.N. Vaserstein, Commutators in Linear groups, K-Theory 2, 761-767, 1989.