The cocycle structure of the Alexander f-quandles on finite fields

Churchill Indu Rasika; Elhamdadi Mohamed; Fernando Neranga

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The cocycle structure of the Alexander f-quandles on finite fields

机译：有限田地亚历山大F Quandles的蚕茧结构

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摘要

We determine the second, third, and fourth cocycle groups of Alexander f-quandles of the form F-q[T,S]/(T-omega, S-beta), where F-q denotes the finite field of order q, omega epsilon F-q{0, 1}, and beta epsilon F-q. We also state three conjectures about second, third, and fourth cohomology groups of these Alexander f-quandles.

机译：我们确定FQ [T，S] /（T-Omega，S-Beta）的亚历山大F-Quandles的第二个，第三和第四核循环组，其中FQ表示有限的顺序Q，Omega epsilon fq {0,1}和Beta Epsilon FQ。我们还陈述了三个关于这些亚历山大F-Quandles的第二个，第三和第四和第四个同学群体的三个猜想。

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来源
《Journal of algebra and its applications》 |2018年第10期|共20页
作者
Churchill Indu Rasika; Elhamdadi Mohamed; Fernando Neranga;
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作者单位

SUNY Coll Oswego Dept Math Oswego NY 13126 USA;

Univ S Florida Dept Math Tampa FL 33620 USA;

Northeastern Univ Dept Math Boston MA 02115 USA;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Quandle; f-quandle; cohomology; Alexander quandle;

机译：Quandle;F-Quandle;同学;亚历山大Quandle;

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专利

1. The cocycle structure of the Alexander f-quandles on finite fields [J] . Churchill Indu Rasika, Elhamdadi Mohamed, Fernando Neranga Journal of algebra and its applications . 2018,第10期

机译：有限田地亚历山大F Quandles的蚕茧结构
2. COLORINGS OF TORUS KNOTS AND THEIR TWIST-SPUNS BY ALEXANDER QUANDLES OVER FINITE FIELDS [J] . Asami S, Kuga K Journal of knot theory and its ramifications . 2009,第9期

机译：有限域上的亚历山大·夸德勒斯对圆环结及其扭转弹簧的着色
3. On the structure and automorphism group of finite alexander quandles [J] . Ferman A., Nowik T., Teicher M. Journal of knot theory and its ramifications . 2011,第3期

机译：有限亚历山大量子群的结构和自同构群
4. Finite-element modeling of shape memory alloy components in smart structures, part I: Non-linear coupled field finite element procedure [C] . Serry, M.Y., Raboud, . 2003

机译：智能结构中形状记忆合金部件的有限元建模，第一部分：非线性耦合场有限元程序
5. Parallel electromagnetic field solvers using finite element methods with adaptive refinement and their application to wakefield computation of axisymmetric accelerator structure. [D] . Zhan, Xiaowei. 1997

机译：自适应改进有限元方法的并行电磁场求解器及其在轴对称加速器结构的尾场计算中的应用。
6. Dielectric properties and Raman spectra of ZnO from a first principles finite-differences/finite-fields approach [O] . Arrigo Calzolari, Marco Buongiorno Nardelli -1

机译：ZnO的介电特性和拉曼光谱的第一原理有限差分/有限域方法
7. The Cocycle structure of the Alexander $f$-quandles on finite fields [O] . Churchill, Indu Rasika, Elhamdadi, Mohamed, Fernando, Neranga 2017

机译：亚历山大$ f $的Cocycle结构 - 有限域上的ququles

The cocycle structure of the Alexander f-quandles on finite fields

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