Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky

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DC Field	Value	Language
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.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.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.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
Appears in Collections:	Research Articles

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