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This article is cited in 5 scientific papers (total in 5 papers)
Finite Groups without Elements of Order Six
A. S. Kondrat'evab, N. A. Minigulovab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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.
Keywords:
finite group, element of order 6, prime graph.
Received: 18.07.2017 Revised: 16.10.2017
Citation:
A. S. Kondrat'ev, N. A. Minigulov, “Finite Groups without Elements of Order Six”, Mat. Zametki, 104:5 (2018), 717–724; Math. Notes, 104:5 (2018), 696–701
Linking options:
https://www.mathnet.ru/eng/mzm11751https://doi.org/10.4213/mzm11751 https://www.mathnet.ru/eng/mzm/v104/i5/p717
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Abstract page: | 491 | Full-text PDF : | 76 | References: | 45 | First page: | 12 |
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