A Generic Polynomial for the Alternating Group $A_5$

Gene Ward Smith

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arXiv · 1210.4991

A Generic Polynomial for the Alternating Group $A_5$

Gene Ward Smith

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Abstract

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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Gene Ward Smith. 2012-10-17. A Generic Polynomial for the Alternating Group $A_5$. https://arxiv.org/abs/1210.4991

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