Presentations of automorphism groups via actions on Outer Spaces
Presentations of automorphism groups via actions on Outer Spaces
批准号:
2612236
负责人:
金额:
$0.0万
依托单位国家:
英国
项目类别:
Studentship
财政年份:
2021
资助国家:
英国
项目状态:
未结题
起止时间:
2021 至 --
中文摘要
对于无限离散群,树的变形空间理论可以看作是群的表示的类比。通过“扭转”表示,得到变形空间本身在自同构群中的作用。由于这些变形空间通常是可收缩的,我们可以研究这一作用及其稳定子来得到自同构群的表示。
英文摘要
The theory of deformation spaces of trees can be seen as an analogue, for infinite discrete groups, of representations of the group. By "twisting" the representation, one obtains an action of the deformation space itself by the automorphism group. Since these deformation spaces are usually contractible, one can study this action and its stabilisers to obtain a presentation of the automorphism groups.
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