On quandle homology groups of Alexander quandles of prime order

Takefumi Nosaka

研究成果: ジャーナルへの寄稿学術誌査読

17 被引用数 (Scopus)

抄録

In this paper we determine the integral quandle homology groups of Alexander quandles of prime order. As a special case, this settles the delayed Fibonacci conjecture by M. Niebrzydowski and J. H. Przytycki from their 2009 paper. Further, we determine the cohomology group of the Alexander quandle and obtain relatively simple presentations of all higher degree cocycles which generate the cohomology group. Finally, we prove that the integral quandle homology of a finite connected Alexander quandle is annihilated by the order of the quandle.

本文言語英語
ページ(範囲)3413-3436
ページ数24
ジャーナルTransactions of the American Mathematical Society
365
7
DOI
出版ステータス出版済み - 7月 2013

!!!All Science Journal Classification (ASJC) codes

  • 数学 (全般)
  • 応用数学

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