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A GENERALIZATION OF SUPERSOLVABILITY

Published online by Cambridge University Press:  27 July 2005

TUVAL FOGUEL
TUVAL FOGUEL
Affiliation:
Auburn University Montgomery, Department of Mathematics, PO Box 244023, Montgomery, AL 36124-4023 USA e-mail: tfoguel@mail.aum.edu
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Abstract

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In this paper we consider a generalization of supersolvability called groups of polycyclic breadth $n$ for $n\ge 1$, we see that a number of well known results for supersolvable groups generalize to groups of polycyclic breadth $n$. This generalization of supersolvability is especially strong for the groups of polycyclic breadth 2.

Keywords

20B05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 249 - 253
Copyright
2005 Glasgow Mathematical Journal Trust