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Some Finite Nilpotent p-Groups

Published online by Cambridge University Press:  09 April 2009

C. K. Gupta
Affiliation:
The University of ManitobaWinnipeg, Canada and The Australian National UniversityCanberra
N. D. Gupta
Affiliation:
The University of ManitobaWinnipeg, Canada and The Australian National UniversityCanberra
M. F. Newman
Affiliation:
The University of ManitobaWinnipeg, Canada and The Australian National UniversityCanberra
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Consider the following statement: For every positive integer n and every prime p there is a finite p-group of nilpotency class (precisely) c all of whose (n−1)-generator subgroups are nilpotent of class at most n.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1969

References

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