English

A Generic Polynomial for the Alternating Group $A_5$

Number Theory 2012-10-19 v1

Abstract

The methods of classical invariant theory are used to construct generic polynomials for groups S5S_5 and A5A_5, along with explicit reductions to specializations of the generic polynomials defining any desired field extension with those groups.

Keywords

Cite

@article{arxiv.1210.4991,
  title  = {A Generic Polynomial for the Alternating Group $A_5$},
  author = {Gene Ward Smith},
  journal= {arXiv preprint arXiv:1210.4991},
  year   = {2012}
}
R2 v1 2026-06-21T22:23:52.105Z