The Structure of Modular Generalized Invariants

dc.contributor.author Erkuş, DENİZ ERDEMİRCİ
dc.contributor.author Madran, Ugur
dc.date.accessioned 2023-06-16T14:11:12Z
dc.date.available 2023-06-16T14:11:12Z
dc.date.issued 2016
dc.description.abstract Let G be a finite group with a faithful representation V over a field F of odd characteristic p, where the order of G is divisible by p. In this article, it is proved that the generalized invariant module of G coincides with the (polynomial) invariant ring of the representation under a necessary and sufficient group theoretical condition. Moreover, the structure of the generalized invariant module for any finite group is determined, providing a tool for computing this module. (C) 2016 Elsevier B.V. All rights reserved. en_US
dc.description.sponsorship TUBITAK at Izmir University of Economics [114F059] en_US
dc.description.sponsorship This research is partially funded by TUBITAK, Project ID: 114F059 and a part of the first author's Ph. D. dissertation [5] under the supervision of the second author at Izmir University of Economics. The authors thank anonymous referee for very helpful comments and for very careful reading of previous manuscripts. en_US
dc.identifier.doi 10.1016/j.jpaa.2016.01.003
dc.identifier.issn 0022-4049
dc.identifier.issn 1873-1376
dc.identifier.scopus 2-s2.0-84957084305
dc.identifier.uri https://doi.org/10.1016/j.jpaa.2016.01.003
dc.identifier.uri https://hdl.handle.net/20.500.14365/1309
dc.language.iso en en_US
dc.publisher Elsevier Science Bv en_US
dc.relation.ispartof Journal of Pure And Applıed Algebra en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.title The Structure of Modular Generalized Invariants en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Madran, Ugur/0000-0002-3817-1740
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gdc.author.wosid Madran, Ugur/GLS-1002-2022
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gdc.description.department İzmir Ekonomi Üniversitesi en_US
gdc.description.departmenttemp [Erkus, Deniz Erdemirci; Madran, Ugur] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey en_US
gdc.description.endpage 2845 en_US
gdc.description.issue 8 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 2836 en_US
gdc.description.volume 220 en_US
gdc.description.wosquality Q2
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gdc.oaire.influence 2.6674234E-9
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gdc.oaire.keywords Actions of groups on commutative rings; invariant theory
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.virtual.author Erkuş, DENİZ ERDEMİRCİ
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