Théorie des groupes
A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes
Comptes Rendus. Mathématique, Tome 358 (2020) no. 11-12, pp. 1135-1138.

Let I n (G) denote the number of elements of order n in a finite group G. Malinowska recently asked “what is the smallest positive integer k such that whenever there exist two nonabelian finite simple groups S and G with prime divisors p 1 ,,p k of |G| and |S| satisfying 2=p 1 <<p k and I p i (G)=I p i (S) for all i{1,,k}, we have that |G|=|S|?”. This paper resolves Malinowska’s question.

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DOI : 10.5802/crmath.130
Classification : 20D60, 20D06
Anabanti, Chimere Stanley 1

1 Institut für Analysis und Zahlentheorie, Technische Universität Graz, Austria.
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Anabanti, Chimere Stanley. A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes. Comptes Rendus. Mathématique, Tome 358 (2020) no. 11-12, pp. 1135-1138. doi : 10.5802/crmath.130. http://www.numdam.org/articles/10.5802/crmath.130/

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