refined solvable presentations for polycyclic groups

نویسندگان

rené hartung

gunnar traustason

چکیده

‎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 {scshape gap} or ‎{scshape 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.

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عنوان ژورنال:
international journal of group theory

ناشر: university of isfahan

ISSN 2251-7650

دوره 1

شماره 2 2011

کلمات کلیدی

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