| Naslov: | Finite solvable groups with a rational skew-field of noncommutative real rational invariants |
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| Avtorji: | ID Podlogar, Gregor (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (2,18 MB)
MD5: FAD9DD00A7DEA6530514A713305F4517
 URL - Izvorni URL, za dostop obiščite https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2156526
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | We consider Noether’s problem on the noncommutative rational functions invariant under a linear action of a finite group. For abelian groups the invariant skew-fields are always rational, for solvable group they are rational if the action is well-behaved – given by a so-called complete representation. We determine the groups that admit such representations and call them totally pseudo-unramified. We show that for a solvable group the invariant skew-field is finitely generated. Finally we study totally pseudo-unramified groups and classify totally pseudo-unramified ▫$p$▫-groups of rank at most ▫$5$▫. |
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| Ključne besede: | Clifford theory, multiplicity free restrictions, noncommutative Noether’s problem, noncommutative rational invariant, totally unramified groups |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2023 |
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| Leto izida: | 2023 |
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| Št. strani: | str. 2268-2292 |
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| Številčenje: | Vol. 51, iss. 6 |
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| PID: | 20.500.12556/DiRROS-19164  |
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| UDK: | 512 |
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| ISSN pri članku: | 0092-7872 |
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| DOI: | 10.1080/00927872.2022.2156526 |
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| COBISS.SI-ID: | 200488195 |
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| Opomba: |
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| Datum objave v DiRROS: | 03.07.2024 |
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| Število ogledov: | 347 |
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| Število prenosov: | 215 |
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| Metapodatki: |    |
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