Groups with small Dehn functions and bipartite chord diagrams
Groups with small Dehn functions and bipartite chord diagrams
复制标题
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:
影响因子:
--
通讯作者:
M. Sapir
中科院分区:
文献类型:
--
作者:
A. Ol'shanskii;M. Sapir
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.