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On Properties Possessed by Solvable and Nilpotent Groups

Published online by Cambridge University Press:  09 April 2009

Christine Ayoub
Christine Ayoub
Affiliation:
Pennsylvania State UniversityUniversity Park, Pennsylvania and University of FrankfurtFrankfurt am Main, Germany
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The object of this note is to study two properties of groups, which we will denote by (*) and (**). The property (*) is possessed by solvable groups (and in fact, by groups which have a solvable invariant system) and the property (**) is possessed by nilpotent groups (and in fact, by groups which have a central system).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 1-2 , February 1969 , pp. 218 - 227
Copyright
Copyright © Australian Mathematical Society 1969

References

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