@article{1a198b8187a84e7ca255df74343cb9f9,
title = "Schur multipliers and second quandle 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 = "Central extensions, Exterior algebra, Group homology, Quandle, Rack and quandle homology, Schur multiplier, Semi-Hopfian group",
author = "Bakshi, {Rhea Palak} and Dionne Ibarra and Sujoy Mukherjee and Takefumi Nosaka and Przytycki, {J{\'o}zef H.}",
note = "Funding Information: The fourth author was supported by a travel grant from MEXT ( 180087077000 ), the Program for Promoting the Enhancement of Research Universities, for his visit to George Washington University. The fifth author was partially supported by the Simons Foundation Collaboration Grant for Mathematicians – 316446 and CCAS Dean's Research Chair award. The authors would like to thank the referee for his/her helpful comments and suggestions. Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",
year = "2020",
month = jun,
day = "15",
doi = "10.1016/j.jalgebra.2019.12.027",
language = "English",
volume = "552",
pages = "52--67",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",
}