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We consider the thermodynamic properties of the quasi-two-dimensionalspin-half Heisenberg ferromagnet on the stacked square and the stacked kagom\'elattices by using the spin-rotation-invariant Green's function method. Wecalculate the critical temperature $T_C$, the uniform static susceptibility$\chi$, the correlation lengths $\xi_\nu$ and the magnetization $M$ andinvestigate the short-range order above $T_C$. We find that $T_C$ and $M$ at$T>0$ are smaller for the stacked kagom\'e lattice which we attribute tofrustration effects becoming relevant at finite temperatures.Comment: shortened version as published in PR

Green’s function theory of quasi-two-dimensional spin-half Heisenberg ferromagnets: Stacked square versus stacked kagomé lattices