Virasoro-type extensions for the Higman-Thompson and Neretin groups

被引:4
|
作者
Kapoudjian, C [1 ]
机构
[1] Univ Toulouse 3, UFR MIG, Lab Emile Picard, CNRS,UMR 5580, F-31062 Toulouse 4, France
来源
关键词
D O I
10.1093/qjmath/53.3.295
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce Virasoro-type extensions for the Neretin spheromorphism groups N-p (for each integer p greater than or equal to 2), the combinatorial or p-adic (when p is prime) analogues of the diffeomorphism group of the circle. The proof of their non-triviality is based on the computation of the Schur multiplier H-2 (V-p, Z) of the Higman-Thompson groups V-p, which are countable subgroups of N-p.
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页码:295 / 317
页数:23
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