Finite Groups without Elements of Order Six
- Authors: Kondrat’ev A.S.1,2, Minigulov N.A.1,2
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Affiliations:
- Institute of Mathematics and Mechanics
- Yeltsyn Ural Federal University
- Issue: Vol 104, No 5-6 (2018)
- Pages: 696-701
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/150400
- DOI: https://doi.org/10.1134/S000143461811010X
- ID: 150400
Cite item
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.
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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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