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A Characterization of Permutation Modules Extending a Theorem of Weiss

A Characterization of Permutation Modules Extending a Theorem of Weiss

Let G be a finite p -group with normal subgroup N . A celebrated theorem of A. Weiss gives a sufficient condition for a \mathbb{Z}_pG -lattice to be a permutation module, looking only at its restriction to N and its N -fixed points. In case N has order p , …