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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Official URL: http://dx.doi.org/10.1007/s11083-016-9400-5
Abstract
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
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Well ordering groups; Ordering groups; Infinite groups; Arithmetic progressions |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Jan 2017 12:51 |
| Last Modified: | 03 Jan 2017 12:51 |
| URI: | http://real.mtak.hu/id/eprint/44140 |
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