A characterization of permutation modules extending a theorem of Weiss
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| Main Author: | |
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| Publication Date: | 2020 |
| Other Authors: | |
| Format: | Article |
| Language: | eng |
| Source: | Repositório Institucional da UnB |
| Download full: | https://repositorio.unb.br/handle/10482/37870 |
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. |