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SOME RESULTS ON THE SECOND BOUNDED COHOMOLOGY OF A PERFECT GROUP

Park, Hee-Sook

  • Received : 2010.06.01
  • Accepted : 2010.06.08
  • Published : 2010.06.25

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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