Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky
| dc.contributor.author | Kundu, Rijubrata | |
| dc.date.accessioned | 2023-08-29T11:10:44Z | |
| dc.date.available | 2023-08-29T11:10:44Z | |
| dc.date.issued | 2022 | |
| dc.description | Only IISER Mohali authors are available in the record. | en_US |
| dc.description.abstract | In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which states that each coset of the centralizer of an involution in a finite non-abelian simple group G contains an odd order element, unless G=PSL(n,2) for n≥4. More precisely, we show that the conjecture does not hold for the alternating group A8n for all n≥2. | en_US |
| dc.identifier.citation | Ricerche di Matematica, 748-8. | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11587-022-00748-8 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/5244 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.subject | Non-abelian simple group | en_US |
| dc.subject | Set of commutators | en_US |
| dc.title | Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky | en_US |
| dc.type | Article | en_US |