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 
@article{IVM_2016_8_a1,
     author = {V. M. Galkin and L. N. Erofeeva and S. V. Leshcheva},
     title = {Commuting elements in conjugacy class of finite groups},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--20},
     publisher = {mathdoc},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_8_a1/}
}
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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/