Construction of Hurwitz Spaces and Application to the Regular Inverse Problem

2012/01/06 by Kenji Sakugawa, Sakugawa, Kenji
Engineering · Mathematics · #12F12 #Differential Equations and Boundary Problems #Elasticity and Wave Propagation #FOS: Mathematics #Holomorphic and Operator Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1201.1391

openalex publication_date 2012/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The author give a simple construction of Hurwitz spaces which is defined by Fried and Volklein, and generalize Hurwitz spaces. As a consequence of this construction, the author prove the regularities of the groups PSO⁺_n(\mathbb F_p^m) if p is an odd prime which congruentes with 7 modulo 12, n is an even positive integer grater than 11 and m=1 or p is an odd prime which congruentes with 7 modulo 12, φ(p^m-1)/2+1\eqiv n/2 (\mod 2), p^m≡ 3(\mod 4) and n>max\φ(p^m-1),7\.

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