| Tartalom: |
http://real.mtak.hu/44140/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = In Press
Type = Article
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| Cím: |
Well Ordering Groups with no Monotone Arithmetic Progressions
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| Létrehozó: |
Károlyi, Gyula
Komjáth, Péter
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| Kiadó: |
Springer
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| Dátum: |
2016
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| Téma: |
QA Mathematics / matematika
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| Tartalmi leírás: |
Károlyi–Kós and Ardal–Brown–Jungic proved that every vector space over (Formula presented.) has an ordering with no monotone three term arithmetic progression (3-AP). We show that every solvable group has a well ordering with no monotone 6-AP, and each hypoabelian group has an ordering omitting monotone 5-APs. Finally, we prove that every group has a well ordering with no infinite monotone AP. © 2016 Springer Science+Business Media Dordrecht
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Károlyi, Gyula and Komjáth, Péter (2016) Well Ordering Groups with no Monotone Arithmetic Progressions. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS. pp. 1-8. ISSN 0167-8094 (In Press)
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| Kapcsolat: |
MTMT:3093778; doi:10.1007/s11083-016-9400-5
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