A characterization of permutation modules extending a theorem of Weiss

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Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	MacQuarrie, John W.
Dáta a fhoilsithe:	2020
Rannpháirtithe:	Zalesski, Pavel
Formáid:	Article
Teanga:	eng
Foinse:	Repositório Institucional da UnB
Download full:	https://repositorio.unb.br/handle/10482/37870
Achoimre:	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.

Cur síos
Achoimre:	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.

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