论文标题
分段连续组的签名
Signature for piecewise continuous groups
论文作者
论文摘要
让PC为[0，1 [到本身在有限集外连续的两组两组。让PC作为有限支持的排列子组为其商。我们表明，Kapoudjian PC的类别消失了。也就是说，商映射PC $ \ rightarrow $ pc拆分Modulo甚至排列的交替子组。通过构建从PC到Z 2Z的非零组同态（称为签名），这表明了这一点。然后，我们使用此签名列出了包含S FIN的每个子组G的正常子组，因此G（g在PC中的投影）很简单。
Let PC be the group of bijections from [0, 1[ to itself which are continuous outside a finite set. Let PC be its quotient by the subgroup of finitely supported permutations. We show that the Kapoudjian class of PC vanishes. That is, the quotient map PC $\rightarrow$ PC splits modulo the alternating subgroup of even permutations. This is shown by constructing a nonzero group homomorphism, called signature, from PC to Z 2Z. Then we use this signature to list normal subgroups of every subgroup G of PC which contains S fin and such that G, the projection of G in PC , is simple.
