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arXiv · 2606.05520

Cohomology of Trivial Linear Cycle Sets

Jorge Guccione·Juan José Guccione·Christian Valqui
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Abstract

We provide a complete classification of extensions of a trivial linear cycle set H by an abelian group I, under the assumption that both H and I are finite cyclic p-groups with p odd, or p = 2 and H has at most four elements. This yields an explicit parametrization of all possible extensions, offering a classification that is both comprehensive and computable. We also compute the socle and the center of all the linear cycle sets obtained.

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Jorge Guccione, Juan José Guccione, Christian Valqui. 2026-06-03. Cohomology of Trivial Linear Cycle Sets. https://arxiv.org/abs/2606.05520

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