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періодичних видань НАН України
On the group of extensions for the bicrossed product construction for a locally compact group
Репозиторій DSpace/Manakin
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On the group of extensions for the bicrossed product construction for a locally compact group
Інший ID:
2000 Mathematics Subject Classification: 17B37; 20G42, 17B55.
Посилання:
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.
Підтримка:
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.
Дата:
2004
Переглядів:
472
Завантажень:
137
Анотація:
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.
