Schur multipliers and second quandle homology

JOURNAL OF ALGEBRA

卷:552

Article

Bakshi, Rhea Palak¹  Ibarra, Dionne¹  Mukherjee, Sujoy¹  Nosaka, Takefumi²  Przytycki, Jozef H.^1,3 

[1] George Washington Univ, Dept Math, Washington, DC 20052 USA

[2] Tokyo Inst Technol, Dept Math, Tokyo, Japan

[3] Univ Gdansk, Dept Math, Gdansk, Poland

关键词: Quandle;    Group homology;    Rack and quandle homology;    Schur multiplier;    Exterior algebra;    Central extensions;    Semi-Hopfian group;   

DOI  :  10.1016/j.jalgebra.2019.12.027

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free