Van Kampen’s embedding obstruction for discrete groups

Van Kampen’s embedding obstruction for discrete groups
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Van Kampen 对离散群的嵌入阻碍

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
B. Kleiner
B. Kleiner
中科院分区:
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文献类型:
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作者:
M. Bestvina;M. Kapovich;B. Kleiner

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摘要。给出了一个可压缩流形维数的下界,在该流形上给定群可以适当地不连续作用。特别地,我们证明了非贝尔自由群的n倍积不能在2n−1上适当地不连续作用。
Abstract.We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the n-fold product of nonabelian free groups cannot act properly discontinuously on ℝ2n−1.