Geodesic
Finite Groups without Elements of Order~Six
Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 717-724

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In 1977, in three papers by Podufalov, by Gordon, and by Fletcher, Stellmacher, and Stewart, finite simple groups without elements of order 6 were determined independently. In the present paper, using this result, we obtain a sufficiently complete description of the structure of a general finite group with this property.
Keywords: finite group, element of order 6, prime graph. 
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     author = {A. S. Kondrat'ev and N. A. Minigulov},
     title = {Finite {Groups} without {Elements} of {Order~Six}},
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A. S. Kondrat'ev; N. A. Minigulov. Finite Groups without Elements of Order~Six. Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 717-724. http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a8/