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# invariant polynomial

An *invariant polynomial* is a polynomial $P$ that is invariant under a (compact) Lie group $\Gamma$ acting on a vector space $V$. Therefore $P$ is $\Gamma$-invariant polynomial if $P(\gamma x)=P(x)$ for all $\gamma\in\Gamma$ and $x\in V$.

# References

- GSS Golubitsky, Martin. Stewart, Ian. Schaeffer, G. David: Singularities and Groups in Bifurcation Theory (Volume II). Springer-Verlag, New York, 1988.

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## Mathematics Subject Classification

13A50*no label found*

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new problem: Problem: Show that phi(a^n-1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia

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