The Number of Sides of a Parallelogram

We define parallelograms of base a and b in a group. They appear as minimal relators in a presentation of a subgroup with generators a and b. In a Lie group they are realized as closed polygonal lines, with sides being orbits of left-invariant vector fields. We estimate the number of sides o...

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Bibliographic Details
Main Authors: Elisha Falbel, Pierre-Vincent Koseleff
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1999-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/95