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math.GR2025
Cohomology of Linear Cycle Sets when the adjoint group is finite abelian
Jorge Guccione, Juan José Guccione, Christian Valqui
This paper analyzes the second cohomology group of a linear cycle set with coefficients in an abelian group I, for linear cycle sets with commutative adjoint operation, focusing on…
math.GR2025
Extensions of a family of Linear Cycle Sets
Jorge Guccione, Juan José Guccione, Christian Valqui
This paper explores the cohomology of linear cycle sets, focusing on extensions of a specific linear cycle set H by an abelian group I. We derive explicit formulas for the second c…