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We consider number fields $K$ generated by a root of an irreducible trinomial$x^4+ax^2+b\in \Bbb Z[x]$ and characterize when a prime $p$ is a common indexdivisor of $K$. The existence of a common index divisor $p$ implies that $K$ isnot monogenic. We illustrate our statements with a series of examples.

On non-monogenity of certain number fields defined by trinomials $x^4+ax^2+b$