Groups with small Dehn functions and bipartite chord diagrams

Groups with small Dehn functions and bipartite chord diagrams
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具有小 Dehn 函数和二部和弦图的群

DOI:
10.1007/s00039-006-0580-9
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发表时间:
2004
期刊:
Geometric & Functional Analysis GAFA
影响因子:
--
通讯作者:
M. Sapir
M. Sapir
中科院分区:
--
文献类型:
--
作者:
A. Ol'shanskii;M. Sapir

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Abstract.We introduce a new invariant of bipartite chord diagrams and use it to construct the first examples of groups with Dehn function n2log n. Some of these groups have undecidable conjugacy problem. Our groups are multiple HNN extensions of free groups. We show that n2log n is the smallest Dehn function of a multiple HNN extension of a free group with undecidable conjugacy problem.