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A bound for the class of certain nilpotent groups

Published online by Cambridge University Press:  09 April 2009

Chander Kanta Gupta
Chander Kanta Gupta
Affiliation:
Institute of Advanced Studies, The Australian National UniversityCanberra. A.C.T.
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The groups whose 2-generator subgroups are all nilpotent of class at most 2 are nilpotent of class at most 3 (see Levi [6]). Heineken [3] generalized Levi's result by proving that for n ≧ 3, if the n-generator subgroups of a group are all nilpotent of class at most n, then the group itself is nilpotent of class at most n. Other related problems have been considered by Bruck [1].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 4 , November 1965 , pp. 506 - 511
Copyright
Copyright © Australian Mathematical Society 1965

References

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