Mathematical Sciences: Automorphisms of Free Groups

该奖项补充了对Vogtmann的 根据DMS-8702070与K. S.布朗作为校长 调查员 这将使她能够参加特别 在数学科学专业学习组合群论一年 研究所，伯克利，加州，在春天， 1989. 一般的研究领域是拓扑和几何 群论中的方法 具体问题涉及各种 外自同构群的子群 生成的自由组和相关组。 这个想法是为了适应 在研究中使用的非常美丽和强大的技术， 算术组对这些组的研究。 一个基本工具 是自由群的外自同构群的作用 在一个由首席研究员开发的可收缩空间上 和马克·卡勒。

This award supplements support provided for Vogtmann's research under DMS-8702070 with K. S. Brown as principal investigator. It will enable her to take part in the special year in combinatorial group theory at the Mathematical Sciences Research Institute, Berkeley, California, during the spring of 1989. The general area of research is in topological and geometric methods in group theory. The specific problems concern various subgroups of the group of outer automorphisms of a finitely generated free group, and related groups. The idea is to adapt the very beautiful and powerful techniques used in the study of arithmetic groups to the study of these groups. One basic tool is the action of the group of outer automorphisms of a free group on a contractible space developed by the principal investigator and Marc Culler.