Counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky
نویسندگان
چکیده
In this article, we provide counterexamples to a conjecture of M. Pellegrini and P. Shumyatsky which states that each coset the centralizer an involution in finite non-abelian simple group $G$ contains odd order element, unless $G=\text{PSL}(n,2)$ for $n\geq 4$. More precisely, show does not hold alternating $A_{8n}$ all 2$.
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ژورنال
عنوان ژورنال: Ricerche Di Matematica
سال: 2022
ISSN: ['1827-3491', '0035-5038']
DOI: https://doi.org/10.1007/s11587-022-00748-8