Rings of invariants of modular p-groups which are hypersurfaces

dc.contributor.authorKechagias, N.en
dc.contributor.authorHughes, I. P.en
dc.date.accessioned2015-11-24T17:27:52Z
dc.date.available2015-11-24T17:27:52Z
dc.identifier.issn0021-8693-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13463
dc.rightsDefault Licence-
dc.titleRings of invariants of modular p-groups which are hypersurfacesen
heal.abstractFor L a finite non-modular group whose invariants form a polynomial ring and H a subgroup of L containing the derived group of L, Nakajima found necessary and sufficient conditions on H for its invariant ring SH to be a hypersurface. In a crucial step of his proof he showed that if SH is a hypersurface, then between H and L there is a group G with polynomial invariant ring such that SH = SG[b]. For G a finite modular p-group over Fp with polynomial invariant ring and H a subgroup of G containing the derived group of G, we find necessary and sufficient conditions on H to ensure that SH = SG[b].en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primary10.1016/j.jalgebra.2005.05.026-
heal.journalNameJournal of Algebraen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2005-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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