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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 8, Pages 12–20 (Mi ivm9139)  
Commuting elements in conjugacy class of finite groups

V. M. Galkin, L. N. Erofeeva, S. V. Leshcheva

R. E. Alekseyev Nizhny Novgorod State Technical University, 24 Minin str., Nizhny Novgorod, 603950 Russia
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Abstract: 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, simple group, conjugacy class, modules over finite fields.
Received: 26.01.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 8, Pages 9–16
DOI: https://doi.org/10.3103/S1066369X16080028
Bibliographic databases:
Document Type: Article
UDC: 512.543
Language: Russian
Citation: V. M. Galkin, L. N. Erofeeva, S. V. Leshcheva, “Commuting elements in conjugacy class of finite groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 8, 12–20; Russian Math. (Iz. VUZ), 60:8 (2016), 9–16
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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