English

Schur Multipliers and Second Quandle Homology

Geometric Topology 2020-05-20 v1 Group Theory K-Theory and Homology

Abstract

We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exterior algebras. Additionally, we present a self-contained proof of its structure and provide some computational examples.

Keywords

Cite

@article{arxiv.1812.04704,
  title  = {Schur Multipliers and Second Quandle Homology},
  author = {Rhea Palak Bakshi and Dionne Ibarra and Sujoy Mukherjee and Takefumi Nosaka and Józef H. Przytycki},
  journal= {arXiv preprint arXiv:1812.04704},
  year   = {2020}
}

Comments

16 pages