Schur multipliers and second quandle homology

Rhea Palak Bakshi , Dionne Ibarra , Sujoy Mukherjee , Takefumi Nosaka , Józef Henryk Przytycki

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.
Author Rhea Palak Bakshi
Rhea Palak Bakshi,,
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, Dionne Ibarra
Dionne Ibarra,,
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, Sujoy Mukherjee
Sujoy Mukherjee,,
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, Takefumi Nosaka
Takefumi Nosaka,,
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, Józef Henryk Przytycki (FMPI/IM)
Józef Henryk Przytycki,,
- Institute of Mathematics
Journal seriesJournal of Algebra, ISSN 0021-8693, e-ISSN 1090-266X, (N/A 100 pkt)
Issue year2020
Vol552
Pages52-67
Publication size in sheets0.75
Keywords in Englishquandle, group homology, rack and quandle homology, Schur multiplier, exterior algebra, central extensions, semi-Hopfian group
ASJC Classification2602 Algebra and Number Theory
DOIDOI:10.1016/j.jalgebra.2019.12.027
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 08-04-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.176; WoS Impact Factor: 2018 = 0.666 (2) - 2018=0.758 (5)
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