Analytic groups over general pro‐p domains

Analytic groups over general pro‐p domains
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一般 Pro-p 域上的分析群

DOI:
10.1112/jlms/jdm055
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发表时间:
2007
期刊:
Journal of the London Mathematical Society
影响因子:
--
通讯作者:
B. Klopsch
B. Klopsch
中科院分区:
--
文献类型:
--
作者:
A. Jaikin‐Zapirain;B. Klopsch

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虽然李群的理论在特征0中得到了高度发展,但关于正特征p的局部域上的解析群的研究相对较少。更一般地,人们可以考虑在Pro-p整环R上解析的群,而不将Krull维度限制为1。自然的例子是形式为R=?p[T1,…,tm]。
While the theory of Lie groups is highly developed in characteristic 0, comparatively little is known about analytic groups over local fields of positive characteristic p. More generally, one can consider groups which are analytic over pro‐p domains R, without restricting the Krull dimension to 1. Natural examples are rings of the form R = ?p[t1,…,tm].