A characterization of permutation modules extending a theorem of Weiss
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| Main Author: | |
|---|---|
| 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. |
| _version_ | 1871442220762005504 |
|---|---|
| author | MacQuarrie, John W. |
| author2 | Zalesski, Pavel |
| author2_role | author |
| author_browse | MacQuarrie, John W. Zalesski, Pavel |
| author_facet | MacQuarrie, John W. Zalesski, Pavel |
| author_role | author |
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| bitstream.checksumAlgorithm.fl_str_mv | MD5 |
| bitstream.url.fl_str_mv | http://repositorio.unb.br/bitstream/10482/37870/2/license.txt |
| collection | Repositório Institucional da UnB |
| dc.contributor.author.fl_str_mv | MacQuarrie, John W. Zalesski, Pavel |
| dc.date.accessioned.fl_str_mv | 2020-05-26T16:14:52Z |
| dc.date.available.fl_str_mv | 2020-05-26T16:14:52Z |
| dc.date.issued.fl_str_mv | 2020 |
| dc.identifier.citation.fl_str_mv | MACQUARRIE, John W.; ZALESSKII, Pavel A. A characterization of permutation modules extending a theorem of Weiss. Documenta Mathematica, v. 25, 2020. |
| dc.identifier.uri.fl_str_mv | https://repositorio.unb.br/handle/10482/37870 |
| dc.language.iso.fl_str_mv | eng |
| dc.rights.driver.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:Repositório Institucional da UnB instname:Universidade de Brasília (UnB) instacron:UNB |
| dc.subject.keyword.pt_BR.fl_str_mv | Módulos de permutação Grupos-p finitos |
| dc.title.pt_BR.fl_str_mv | A characterization of permutation modules extending a theorem of Weiss |
| dc.type.driver.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.status.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | UNB_134cf3f1b084e162e06cc422dc4efdf8 |
| identifier_str_mv | MACQUARRIE, John W.; ZALESSKII, Pavel A. A characterization of permutation modules extending a theorem of Weiss. Documenta Mathematica, v. 25, 2020. |
| instacron_str | UNB |
| institution | UNB |
| instname_str | Universidade de Brasília (UnB) |
| language | eng |
| network_acronym_str | UNB |
| network_name_str | Repositório Institucional da UnB |
| oai_identifier_str | oai:repositorio.unb.br:10482/37870 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| reponame_str | Repositório Institucional da UnB |
| repository.mail.fl_str_mv | repositorio@unb.br |
| repository.name.fl_str_mv | Repositório Institucional da UnB - Universidade de Brasília (UnB) |
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| spelling | MacQuarrie, John W.Zalesski, Pavel2020-05-26T16:14:52Z2020-05-26T16:14:52Z2020MACQUARRIE, John W.; ZALESSKII, Pavel A. A characterization of permutation modules extending a theorem of Weiss. Documenta Mathematica, v. 25, 2020.https://repositorio.unb.br/handle/10482/37870A characterization of permutation modules extending a theorem of Weissinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleMódulos de permutaçãoGrupos-p finitosLet 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.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNBLICENSElicense.txtlicense.txttext/plain163http://repositorio.unb.br/bitstream/10482/37870/2/license.txtba54f8d1c5f5ec8df897ad678916c701MD52open access10482/378702025-10-31 08:39:11.411metadata only accessoai:repositorio.unb.br:10482/37870U3VibWlzc8OjbyBlZmV0aXZhZGEgcG9yIGludGVncmFudGUgZGEgZXF1aXBlIGRvIFJlcG9zaXTDs3JpbyBJbnN0aXR1Y2lvbmFsIGRhIFVuQiBkZSBhY29yZG8gY29tIGxpY2Vuw6dhIGNvbmNlZGlkYSBwZWxvIGF1dG9yIGUvb3UgZGV0ZW50b3IgZG9zIGRpcmVpdG9zIGF1dG9yYWlzLg==Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2025-10-31T11:39:11Repositório Institucional da UnB - Universidade de Brasília (UnB) |
| spellingShingle | A characterization of permutation modules extending a theorem of Weiss MacQuarrie, John W. Módulos de permutação Grupos-p finitos |
| status_str | publishedVersion |
| title | A characterization of permutation modules extending a theorem of Weiss |
| title_full | A characterization of permutation modules extending a theorem of Weiss |
| title_fullStr | A characterization of permutation modules extending a theorem of Weiss |
| title_full_unstemmed | A characterization of permutation modules extending a theorem of Weiss |
| title_short | A characterization of permutation modules extending a theorem of Weiss |
| title_sort | A characterization of permutation modules extending a theorem of Weiss |
| topic | Módulos de permutação Grupos-p finitos |
| url | https://repositorio.unb.br/handle/10482/37870 |