Construction of continuous cocycles for the bicrossed product of locally compact groups

  • G. B. Podkolzin
  • Yu. Chapovsky


For locally compact groups $K, M$, and $N$ such that $M$ and $N$ are subgroups of $K, K = M ∙ N$ and $M ∩ N = \{e\}$, where $e$ is the identity of the group $K$, we give a complete description and propose a method for the construction of pairs of continuous cocycles used in the structure of bicrossed product with cocycles in terms of continuous 2-cocycles on the groups $M, N$, and $$K and 3-cocycles on the group $K$.
How to Cite
Podkolzin, G. B., and Y. Chapovsky. “Construction of Continuous Cocycles for the Bicrossed Product of Locally Compact Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 2, Feb. 2009, pp. 243-60,
Research articles