Geodesic
Commuting elements in conjugacy class of finite groups
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 12-20.

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In this paper we state methods of verification of the following conjecture: The non-identity conjugacy class in finite simple group contains two commuting elements. As an illustration, we consider sporadic groups, projective group $L_n(q)$ and alternating group $A_n$.
Keywords: left distributive groupoid, modules over finite fields.
Mots-clés : simple group, conjugacy class 
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V. M. Galkin; L. N. Erofeeva; S. V. Leshcheva. Commuting elements in conjugacy class of finite groups. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 12-20. http://geodesic.mathdoc.fr/item/IVM_2016_8_a1/

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