AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (879.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Solving singular equations of length eight over torsion-free groups

Mairaj Bibi1, Sajid Ali1, Muhammad Shoaib Arif2,3( ), Kamaleldin Abodayeh2
Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad, 45550, Pakistan
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan
Show Author Information

Abstract

It was demonstrated by Bibi and Edjvet in [1] that any equation with a length of at most seven over torsion-free group can be solvable. This corroborates Levin's [2] assertion that any equation over a torsion-free group is solvable. It is demonstrated in this article that a singular equation of length eight over torsion-free groups is solvable.

Keywords

torsion free grouprelative presentationstar graphweight test
CLC number: 20F70, 20F05, 20E06, 20F06

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6407-6431
DOI: 10.3934/math.2023324

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Bibi M, Ali S, Arif MS, et al. Solving singular equations of length eight over torsion-free groups. AIMS Mathematics, 2023, 8(3): 6407-6431. https://doi.org/10.3934/math.2023324

3

Views

0

Downloads

0

Crossref

2

Web of Science

2

Scopus
Received: 16 April 2022
Revised: 31 July 2022
Accepted: 11 August 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)