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Paper Information

Journal:   INTERNATIONAL JOURNAL OF GROUP THEORY   JUNE 2012 , Volume 1 , Number 2; Page(s) 1 To 17.
 
Paper: 

REFINED SOLVABLE PRESENTATIONS FOR POLYCYCLIC GROUPS

 
 
Author(s):  HARTUNG RENE, TRAUSTASON GUNNAR*
 
* DEPARTMENT OF MATHEMATICAL SCIENCES, UNIVERSITY OF BATH, BATH BA27AY, UK
 
Abstract: 
We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by refining a series of normal subgroups with abelian sections.
These presentations can be described effectively in computer-algebra-systems like Gap or Magma. We study these presentations and, in particular, we obtain consistency criteria for them. The consistency implementation demonstrates that there are situations where the new method is faster than the existing methods for polycyclic groups.
 
Keyword(s): POLYCYCLIC, PRESENTATION, NILPOTENT
 
References: 
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