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On supersolvability of finite groups

Published online by Cambridge University Press:  25 July 2002

Piroska Csörgő
Piroska Csörgő
Affiliation:
Eötvös University, Dept. of Algebra and Number Theory, Pàzmàny Pèter Sètàny 1/c, H-1117 Budapest, Hungary e-mail: skacs.elte.hu
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We prove a natural factorization of supersolvable groups and then we give another characterization of them in connection with the Fitting subgroup. Applying these theorems we describe the structure of some subclasses of supersolvable groups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 3 , May 2001 , pp. 327 - 333
Copyright
2001 Glasgow Mathematical Journal Trust

Footnotes

This paper was partly supported by Hungarian National Foundation for Scientific Research Grant # T 029132 and T 022925.