The prolongation of central extensions
classification
🧮 math.GR
keywords
alphagammacentralextensionsgroupsprolongationprolongationsclassify
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The aim of this paper is to study the $(\alpha, \gamma)$-prolongation of central extensions. We obtain the obstruction theory for $(\alpha, \gamma)$-prolongations and classify $(\alpha, \gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.
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