Complexes of groups and geometric small cancellation over graphs of groups
Complexes of groups and geometric small cancellation over graphs of groups
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群的复数和群图上的几何小抵消
DOI：
10.24033/bsmf.2734
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Alexandre Martin
中科院分区：
文献类型：
--
作者：
Alexandre Martin
我们解释并推广了Gromov的构造，以实现群图上的几何小抵消群作为非正弯曲的二维群复的基本群。然后给出了由群的初始图的局部群的类似性质推导出小消商的双曲性和有限性质的条件。
We explain and generalise a construction due to Gromov to realise geometric small cancellation groups over graphs of groups as fundamental groups of non-positively curved 2-dimensional complexes of groups. We then give conditions so that the hyperbolicity and some finiteness properties of the small cancellation quotient can be deduced from analogous properties for the local groups of the initial graph of groups.