Finite Groups without Elements of Order Six


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Abstract

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.

About the authors

A. S. Kondrat’ev

Institute of Mathematics and Mechanics; Yeltsyn Ural Federal University

Author for correspondence.
Email: a.s.kondratiev@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

N. A. Minigulov

Institute of Mathematics and Mechanics; Yeltsyn Ural Federal University

Email: a.s.kondratiev@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002

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