The cocycle structure of the Alexander f-quandles on finite fields-Reference-Cited by-同舟云学术

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

Published:2018-10 Issue:10 Volume:17 Page:1850190
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Churchill Indu Rasika¹,Elhamdadi Mohamed²,Fernando Neranga³

Affiliation:

1. Department of Mathematics, State University of New York at Oswego, Oswego NY 13126, USA

2. Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA

3. Department of Mathematics, Northeastern University, Boston, MA 02115, USA

Abstract

We determine the second, third, and fourth cocycle groups of Alexander [Formula: see text]-quandles of the form [Formula: see text], where [Formula: see text] denotes the finite field of order [Formula: see text], [Formula: see text], and [Formula: see text]. We also state three conjectures about second, third, and fourth cohomology groups of these Alexander [Formula: see text]-quandles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818501906

Reference22 articles.

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1. On the Classification of f-Quandles;Springer Proceedings in Mathematics & Statistics;2020