Geodesic
A Characterization of Permutation Modules Extending a Theorem of Weiss
Documenta mathematica, Tome 25 (2020), pp. 1159-1169
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Let G be a finite p-group with normal subgroup N. A celebrated theorem of A. Weiss gives a sufficient condition for a Zp​G-lattice 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.
DOI : 10.4171/dm/772
Classification : 20C11
Mots-clés : permutation modules, finite p-groups 
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     author = {John William MacQuarrie and Pavel Zalesskii},
     title = {A {Characterization} of {Permutation} {Modules} {Extending} a {Theorem} of {Weiss}},
     journal = {Documenta mathematica},
     pages = {1159--1169},
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     doi = {10.4171/dm/772},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/772/}
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John William MacQuarrie; Pavel Zalesskii. A Characterization of Permutation Modules Extending a Theorem of Weiss. Documenta mathematica, Tome 25 (2020), pp. 1159-1169. doi: 10.4171/dm/772

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