On the group of extensions for the bicrossed product construction for a locally compact group

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Authors: Chapovsky, Yu.A., Kalyuzhnyi, A.A., Podkolzin, G.B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156409
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the group of extensions for the bicrossed product construction for a locally compact group / Yu.A. Chapovsky, A.A. Kalyuzhnyi, G.B. Podkolzin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 12–20. — Бібліогр.: 7 назв. — англ.

For the cocycle bicrossed product construction applied to a locally compact group and its two subgroups, we give a simple description of the group of the corresponding extensions in terms of the second cohomology group of a certain complex of continuous functions on the group. Using this descrip...