Central extensions of some linear cycle sets

Abstract

For each member $\mathcal{A}$ of a family of linear cycle sets whose underlying abelian group is cyclic of order a power of a prime number, we compute all the central extensions of $\mathcal{A}$ by an arbitrary abelian group.

24 pages. We use group cohomology insted of Hochschild cohomology. This simplify the computations

References in corpus (1)

• Cohomology and extensions of braces