Geodesic
On finite tetraprimary groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 142-159

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Chief factors of commutants of finite groups whose prime graph is disconnected and has exactly four vertices are described. As a corollary, finite simple groups recognizable by prime graph with exactly four vertices are determined.
Keywords: finite group, tetraprimary group, prime graph, recognition by prime graph. 
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A. S. Kondrat'ev; I. V. Khramtsov. On finite tetraprimary groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 142-159. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a15/