ON REPRESENTATIONS OF THE GROUP OF LISTING'S KNOT BY SUBGROUPS OF SL(2, C)

ON REPRESENTATIONS OF THE GROUP OF LISTING'S KNOT BY SUBGROUPS OF SL(2, C)
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论SL(2,C)子群对列表结群的表示

DOI:
10.1090/s0002-9939-1973-0316585-3
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发表时间:
1973
期刊:
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影响因子:
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通讯作者:
A. Whittemore
A. Whittemore
中科院分区:
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文献类型:
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作者:
A. Whittemore

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表示李氏结群的SL(2, C)的子群G用A、B和AB的迹表示,其中A和B是生成G的矩阵,由此可以得出SL(2, R)存在有限生成的非离散子群,它们与任何Fuchsian群都不同构。
The subgroups G of SL(2, C) which represent the group of Listing's knot are characterized by the traces of A, B and AB, where A and B are matrices which generate G. From this it follows that there exist finitely generated nondiscrete subgroups of SL(2, R) which are not isomorphic to any Fuchsian group.