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 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.
| Main Authors: | MacQuarrie, John W., Zalesski, Pavel |
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| Format: | Artigo |
| Language: | Inglês |
| Published: |
2020
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| Subjects: | |
| Online Access: |
https://repositorio.unb.br/handle/10482/37870 |
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| Summary: |
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. |
|---|