Finite Groups without Elements of Order Six
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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.
Keywordsfinite group element of order 6 prime graph
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- 5.G. Higman, Odd Characterizations of Finite Simple Groups, Lecture Notes (University of Michigan, Michigan, 1968).Google Scholar