Combinatorial Belyi Cuspidalization and Arithmetic Subquotients of the Grothendieck–Teichmüller Group

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-10-07 DOI:10.4171/prims/56-4-5

Shota Tsujimura

引用次数: 8

Abstract

In this paper, we develop a certain combinatorial version of the theory of Belyi cuspidalization developed by Mochizuki. Write Q ⊆ C for the subfield of algebraic numbers ∈ C. We then apply this theory of combinatorial Belyi cuspidalization to certain natural closed subgroups of the Grothendieck-Teichmüller group associated to the field of p-adic numbers [where p is a prime number] and to stably ×μ-indivisible subfields of Q, i.e., subfields for which every finite field extension satisfies the property that every nonzero divisible element in the field extension is a root of unity. 2010 Mathematics Subject Classification: Primary 14H30.

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grothendieck - teichm ller群的组合Belyi Cuspidalization和算术子商

在本文中，我们对Mochizuki提出的Belyi尖化理论进行了某种组合版本的发展。为代数数∈C的子域写Q⊆C。然后，我们将组合Belyi尖化理论应用于Grothendieck-Teichmüller群的某些自然闭子群，这些子群与p-adic数[其中p是素数]的域相关联，并应用于Q的稳定的×μ-不可分子域，即。，每个有限域扩展都满足域扩展中的每个非零可整除元素是单位根的性质的子域。2010年数学学科分类：小学14H30。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.