Geodesic
Third-Engel 2-Groups are Soluble
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 523-524

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that a 3rd-Engel group is an extension of a soluble group by a group of exponent 5. 
Gupta, Narain. Third-Engel 2-Groups are Soluble. Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 523-524. doi: 10.4153/CMB-1972-091-7
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[1] 1. Gruenberg, K. W., The upper central series in soluble groups, Illinois J. Math. 5 (1961), 436-466. Google Scholar

[2] 2. Gupta, Narain D. and Weston, Kenneth W., On groups ofexponent four, J. Algebra 17 (1971), 59-66. Google Scholar

[3] 3. Hermann, Heineken, Engelsche Elemente der Länge drei, Illinois J. Math. 5 (1961), 681-707. Google Scholar

[4] 4. Macdonald, I. D. and Neumann, B. H., A third-Engel 5-group, J. Austral. Math. Soc. 7 (1967), 555-569. Google Scholar

[5] 5. Hanna, Neumann, Varieties of groups, Springer-Verlag, New York, 1967. Google Scholar

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