The 3-cocycles of the Alexander quandles Fq[T]/(T-ω)

被引：13

作者：

Mochizuki, Takuro ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2005年 / 5卷

关键词：

quandle; cohomology; knot;

D O I：

10.2140/agt.2005.5.183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the third cohomology of Alexander quandles of the form F-q[T]/(T-omega), where F-q denotes the finite field of order q and omega is an element of F-q which is neither 0 nor 1. As a result, we obtain many concrete examples of non-trivial 3-cocycles.

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页码：183 / 205

页数：23

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