| dc.contributor.author |
Das, Bireswar |
|
| dc.contributor.author |
Samant, Kavita |
|
| dc.contributor.author |
Thakkar, Dhara |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2025-09-04T07:14:08Z |
|
| dc.date.available |
2025-09-04T07:14:08Z |
|
| dc.date.issued |
2025-08 |
|
| dc.identifier.citation |
Das, Bireswar; Samant, Kavita and Thakkar, Dhara, "An arithmetic characterization of 2-generated numbers", arXiv, Cornell University Library, DOI: arXiv:2508.16356, Aug. 2025. |
|
| dc.identifier.issn |
2331-8422 |
|
| dc.identifier.uri |
https://doi.org/10.48550/arXiv.2508.16356 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11850 |
|
| dc.description.abstract |
A group G is said to be k-generated if it has a generating set with k elements. A positive integer n is called a \emph{2-generated number} if every group of order n is 2-generated. In this article, we establish an arithmetic characterization of 2-generated numbers expressed in terms of the prime factorization of n. |
|
| dc.description.statementofresponsibility |
by Bireswar Das, Kavita Samant and Dhara Thakkar |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.subject |
Finite Groups |
|
| dc.subject |
Generating Set |
|
| dc.subject |
Group of Cube-Free order |
|
| dc.subject |
Generating Graph |
|
| dc.title |
An arithmetic characterization of 2-generated numbers |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|