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Third-Engel 2-Groups are Soluble

Published online by Cambridge University Press:  20 November 2018

Narain Gupta
Narain Gupta*
Affiliation:
The University of Manitoba, Winnipeg, Manitoba
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Abstract

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It is shown that a 3rd-Engel group is an extension of a soluble group by a group of exponent 5.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 4 , December 1972 , pp. 523 - 524
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Gruenberg, K. W., The upper central series in soluble groups, Illinois J. Math. 5 (1961), 436-466.Google Scholar
2. Gupta, Narain D. and Weston, Kenneth W., On groups ofexponent four, J. Algebra 17 (1971), 59-66.Google Scholar
3. Hermann, Heineken, Engelsche Elemente der Länge drei, Illinois J. Math. 5 (1961), 681-707.Google Scholar
4. Macdonald, I. D. and Neumann, B. H., A third-Engel 5-group, J. Austral. Math. Soc. 7 (1967), 555-569.Google Scholar
5. Hanna, Neumann, Varieties of groups, Springer-Verlag, New York, 1967.Google Scholar