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arXiv · 1706.02546

Globalization of partial cohomology of groups

Mikhailo Dokuchaev·Mykola Khrypchenko·Juan Jacobo Simón
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Abstract

We study the relations between partial and global group cohomology with values in a commutative unital ring $\mathcal{A}$. In particular, for a unital partial action of a group $G$ on $\mathcal{A}$, such that $\mathcal{A}$ is a direct product of commutative indecomposable rings, we show that any partial $n$-cocycle of $G$ with values in $\mathcal{A}$ is globalizable.

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Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón. 2017-06-08. Globalization of partial cohomology of groups. https://arxiv.org/abs/1706.02546

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