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

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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2004, Vol. 3
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Algebra and Discrete Mathematics, 2004, № 3
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dc.contributor.author	Chapovsky, Yu.A.
dc.contributor.author	Kalyuzhnyi, A.A.
dc.contributor.author	Podkolzin, G.B.
dc.date.accessioned	2019-06-18T13:24:46Z
dc.date.available	2019-06-18T13:24:46Z
dc.date.issued	2004
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 17B37; 20G42, 17B55.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/156409
dc.description.abstract	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 description, we find pairs of continuous cocycles for two subgroups of the Heisenberg group.	uk_UA
dc.description.sponsorship	This work has been supported in part by the Ukrainian State Foundation for Fundamental Studied, the first author through Grant N 01.07/027, the second and the third authors through Grant N 01.07/071.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the group of extensions for the bicrossed product construction for a locally compact group	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA