有限$m$ - AQ quandles同调中挠的零化
Annihilation of torsion in homology of finite $m$-AQ quandles
摘要:
群的阶零化它的同调是有限群约化同调的一个经典结果。类似地,我们证明了有限拟群quandle的格与quandle同调的扭子群被它的阶零化。然而,它并不适用于一般的连接困境。本文定义了一个$m$ -几乎拟群($m$ -AQ)quandle,它是拟群quandle的推广,并研究了它的格与quandle同调群中挠的湮灭.
英文摘要:
It is a classical result in reduced homology of finite groups that the order of a group annihilates its homology. Similarly, we have proved that the torsion subgroup of rack and quandle homology of a finite quasigroup quandle is annihilated by its order. However, it does not hold for connected quandles in general. In this paper, we define an $m$-almost quasigroup ($m$-AQ) quandle which is a generalization of a quasigroup quandle and study annihilation of torsion in its rack and quandle homology groups.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。