Generic Picard-Vessiot extensions for connected-by-finite groups

Lourdes Juan

doi:10.1016/j.jalgebra.2007.02.043

Generic Picard-Vessiot extensions for connected-by-finite groups

Lourdes Juan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We construct generic Picard-Vessiot extensions for linear algebraic groups G which are isomorphic to the semidirect product of a connected group G⁰ by a finite group H, where the adjoint H-action on the Lie algebra of G⁰ is faithful.

Original language	English
Pages (from-to)	194-206
Number of pages	13
Journal	Journal of Algebra
Volume	312
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2007.02.043
State	Published - Jun 1 2007

Keywords

Galois theory
Generic extensions
Linear differential equations
Picard-Vessiot

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10.1016/j.jalgebra.2007.02.043

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title = "Generic Picard-Vessiot extensions for connected-by-finite groups",

abstract = "We construct generic Picard-Vessiot extensions for linear algebraic groups G which are isomorphic to the semidirect product of a connected group G0 by a finite group H, where the adjoint H-action on the Lie algebra of G0 is faithful.",

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AB - We construct generic Picard-Vessiot extensions for linear algebraic groups G which are isomorphic to the semidirect product of a connected group G0 by a finite group H, where the adjoint H-action on the Lie algebra of G0 is faithful.

KW - Galois theory

KW - Generic extensions

KW - Linear differential equations

KW - Picard-Vessiot

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Generic Picard-Vessiot extensions for connected-by-finite groups

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Keywords

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