The integral monodromy of isolated quasihomogeneous singularities

The integral monodromy on the Milnor lattice of an isolated quasihomogeneous singularity is subject almost untouched conjecture Orlik from 1972. We prove this for all iterated Thom-Sebastiani sums chain type singularities and cycle singularities. main part paper purely algebraic. It provides tools dealing with tensor products ${\mathbb Z}$-lattices automorphisms finite order cyclic generators. calculations are involved. They use fine properties unit roots, cyclotomic polynomials, their resultants discriminants.