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http://hdl.handle.net/123456789/5244| Title: | Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky |
| Authors: | Kundu, Rijubrata |
| Keywords: | Non-abelian simple group Set of commutators |
| Issue Date: | 2022 |
| Publisher: | Springer Nature |
| Citation: | Ricerche di Matematica, 748-8. |
| 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. |
| Description: | Only IISER Mohali authors are available in the record. |
| URI: | https://doi.org/10.1007/s11587-022-00748-8 http://hdl.handle.net/123456789/5244 |
| Appears in Collections: | Research Articles |
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