TY - JOUR
ID - 66
TI - First non-abelian cohomology of topological groups II
JO - Journal of Algebra and Related Topics
JA - JART
LA - en
SN - 2345-3931
AU - Sahleh, H.
AU - Koshkoshi, H. E.
AD - University of Guilan
Y1 - 2014
PY - 2014
VL - 2
IS - 2
SP - 43
EP - 61
KW - Non-abelian cohomology of topological groups
KW - cocompatible triple
KW - partially crossed topological bimodule
KW - principle homogeneous space
DO -
N2 - In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-abelian cohomology of a topological group by the notion of a principle homogeneous space.
UR - https://jart.guilan.ac.ir/article_66.html
L1 - https://jart.guilan.ac.ir/article_66_401debc98c625ef131a511bc9335c425.pdf
ER -