arXiv 1302.59822013-02math.GRmath.GT

具有离散子集、墙和立方体的群作用

Group actions with commensurated subsets, wallings and cubings

Yves Cornulier

备注：: 78 pages, no figure. Preliminary version, comments welcome! v1->v2 extended version: the new Section 7 was partly extracted from Section 3; some subsections are new (notably 4H and from 7B to 7F)

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摘要：

本文研究了群的扩张作用以及与之相关的性质FW和PW，并结合墙图、中值图、CAT（0）立方和多端Schreier图进行了讨论。

英文摘要：

We study commensurating actions of groups and the associated properties FW and PW, in connection with wallings, median graphs, CAT(0) cubings and multi-ended Schreier graphs.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。