Are there any good examples of how group theory can be applied to solve multivariate algebraic equations?(adsbygoogle = window.adsbygoogle || []).push({});

The type of equations I have in mind are those that set a "multilinear" polynomial (e.g. ## xyz + 3xy + z##) equal to a monomial (e.g. ##x^3##). However, I'd like to hear about any sort of simultaneous algebraic equations where group theory is useful.

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# A Applying group theory to multivariate eqs

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