On the homomorphism between the equivariant SK ring and the Burnside ring for involution
On the homomorphism between the equivariant SK ring and the Burnside ring for involution
复制标题
等变SK环与Burnside环对合同态
DOI：
10.14492/hokmj/1381757661
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发表时间：
1985
影响因子：
0.5
通讯作者：
Hiroaki Koshikawa
中科院分区：
文献类型：
--
作者：
Hiroaki Koshikawa
设G是有限阿贝尔群，A(G)是Burnside环，[3]Kosniowski中的G-等变“剪贴环”SK_*^{G}提出了我们有一个同态SK_*^{G}箭头A(G)，关于这个同态我们能说些什么。在本文中，我们考虑G=Z_{2}的情形，设y=[Z_{2}]\in SK_{0}^{Z_{2}}，y_{i}=[Rp(R\cross\tilde{R}^{L})]\in SK_{i}^{Z_{2}}对i，α=[Rp^{2}]
Let G be a finite abelian group, A(G) the Burnside ring and SK_{*}^{G} the G-equivariant “cutting and pasting ring” In [3] Kosniowski proposed that we have a homomorphinsm SK_{*}^{G}arrow A(G) and what we can say about this homomorphism. In this note, we consider the case of G=Z_{2} Let y=[Z_{2}]\in SK_{0}^{Z_{2}} , y_{i}=[RP(R\cross\tilde{R}^{l})]\in SK_{i}^{Z_{2}} for i\geqq 0 and \alpha=[RP^{2}]\in