A Generic Polynomial for the Alternating Group \(A_5\)

A Generic Polynomial for the Alternating Group \(A_5\)

The methods of classical invariant theory are used to construct generic polynomials for groups \(S_5\) and \(A_5\), along with explicit reductions to specializations of the generic polynomials defining any desired field extension with those groups.

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Veröffentlicht in:arXiv.org 2012-10
1. Verfasser: Gene Ward Smith
Format: Artikel
Sprache:eng
Schlagworte:
Polynomials
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Zusammenfassung:The methods of classical invariant theory are used to construct generic polynomials for groups \(S_5\) and \(A_5\), along with explicit reductions to specializations of the generic polynomials defining any desired field extension with those groups.
ISSN:2331-8422