English

Central extensions of some linear cycle sets

K-Theory and Homology 2021-09-14 v4

Abstract

For each member A\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 A\mathcal{A} by an arbitrary abelian group.

Keywords

Cite

@article{arxiv.2102.02724,
  title  = {Central extensions of some linear cycle sets},
  author = {Jorge A. Guccione and Juan J. Guccione},
  journal= {arXiv preprint arXiv:2102.02724},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-23T22:50:40.936Z