Non-constant Teichmüller level structures and an application to the Inverse Galois Problem | Zendy

Kenji Sakugawa | Zendy

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Non-constant Teichmüller level structures and an application to the Inverse Galois Problem

Author(s) -

Kenji Sakugawa

Publication year - 2016

Publication title -

journal of the mathematical society of japan

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.047

H-Index - 36

eISSN - 1881-1167

pISSN - 0025-5645

DOI - 10.2969/jmsj/06831189

Subject(s) - mathematics , quotient , constant (computer programming) , pure mathematics , symplectic geometry , finite field , group (periodic table) , inverse , field (mathematics) , finite group , algebra over a field , discrete mathematics , geometry , organic chemistry , computer science , programming language , chemistry

In this paper, we generalize the Hurwitz space which is defined by Fried and Völklein by replacing constant Teichmüller level structures with non-constant Teichmüller level structures defined by finite étale group schemes. As an application, we give some examples of projective general symplectic groups over finite fields which occur as quotients of the absolute Galois group of the field of rational numbers Q.

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