Geodesic
Recognizability of groups $E_7(2)$ and $E_7(3)$ by prime graph
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 223-229

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It is proved that the groups $E_7(2)$ and $E_7(3)$ are recognized by prime graph. As corollary, it is completed the positive solution of the Mazurov's problem that every finite group whose the prime graph has at least three connected components is either recognizable by spectrum or isomorphic to $A_6$.
Keywords: finite group, spectrum, prime graph, recognition by spectrum or by prime graph.
Mots-clés : simple group 
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     author = {A. S. Kondrat'ev},
     title = {Recognizability of groups $E_7(2)$ and $E_7(3)$ by prime graph},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {223--229},
     publisher = {mathdoc},
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     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a17/}
}
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A. S. Kondrat'ev. Recognizability of groups $E_7(2)$ and $E_7(3)$ by prime graph. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 2, pp. 223-229. http://geodesic.mathdoc.fr/item/TIMM_2014_20_2_a17/