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Finite groups which are the product of two nilpotent subgroups

Published online by Cambridge University Press:  17 April 2009

Fletcher Gross
Fletcher Gross
Affiliation:
Department of Mathematics, The University of Utah, Salt Lake City, Utah, USA.
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Abstract

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Suppose G = AB where G is a finite group and A and B are nilpotent subgroups. It is proved that the derived length of G modulo its Frattini subgroup is at most the sum of the classes of A and B. An upper bound for the derived length of G in terms of the derived lengths of A and B also is obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 2 , October 1973 , pp. 267 - 274
Copyright
Copyright © Australian Mathematical Society 1973

References

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