A characterization of permutation modules extending a theorem of Weiss

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Autore principale: MacQuarrie, John W.
Data di pubblicazione: 2020
Altri autori: Zalesski, Pavel
Natura: Article
Lingua: eng
Fonte: Repositório Institucional da UnB
Download full: https://repositorio.unb.br/handle/10482/37870
Riassunto: Let G be a finite p-group with normal subgroup N. A celebrated theorem of A. Weiss gives a sufficient condition for a ZpGlattice to be a permutation module, looking only at its restriction to N and its N-fixed points. In case N has order p, we extend the condition of Weiss to a characterization.