伽罗瓦集团
数学
纯数学
伽罗瓦扩张
嵌入问题
微分伽罗瓦理论
伽罗瓦理论的基本定理
伽罗瓦理论
伽罗瓦上同调
Galois模块
出处
期刊:arXiv: Dynamical Systems
日期:2018-09-22
被引量:7
摘要
In this paper, we study the actions of profinite groups on Cantor sets which arise from representations of Galois groups of certain fields of rational functions. Such representations are associated to polynomials, and they are called profinite iterated monodromy groups. We are interested in a topological invariant of such actions called the asymptotic discriminant. In particular, we give a complete classification by whether the asymptotic discriminant is stable or wild in the case when the polynomial generating the representation is quadratic. We also study different ways in which a wild asymptotic discriminant can arise.
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