Refined solvable presentations for polycyclic groups
| Autor: | Hartung, Ren��, Traustason, Gunnar |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | International Journal of Group Theory, Vol 1, Iss 2, Pp 1-17 (2012) |
| ISSN: | 2251-7669 2251-7650 |
| Popis: | We describe a new type of polycyclic presentations, that we will call refined solvable presentations, for polycyclic groups. These presentations are obtained by refining a series of normal subgroups with abelian sections. These presentations can be described effectively by presentation maps which yield the basis data structure to define a polycyclic group in computer-algebra-systems like {\scshape Gap} or {\scshape Magma}. We study refined solvable presentations and, in particular, we obtain consistency criteria for them. This consistency implementation demonstrates that it is often faster than the existing methods for polycyclic groups. Preprint |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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