arXiv Open Access 2013

Hrushovski's Algorithm for Computing the Galois Group of a Linear Differential Equation

Ruyong Feng

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Abstrak

We present a detailed and simplified version of Hrushovski's algorithm that determines the Galois group of a linear differential equation. There are three major ingredients in this algorithm. The first is to look for a degree bound for proto-Galois groups, which enables one to compute one of them. The second is to determine the identity component of the Galois group that is the pullback of a torus to the proto-Galois group. The third is to recover the Galois group from its identity component and a finite Galois group.

Topik & Kata Kunci

cs.SC

Penulis (1)

Ruyong Feng

Format Sitasi

APA MLA BibTeX

Feng, R. (2013). Hrushovski's Algorithm for Computing the Galois Group of a Linear Differential Equation. https://arxiv.org/abs/1312.5029

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓