Supersolvable orders and inductively free arrangements

Supersolvable orders and inductively free arrangements

In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that t...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2017-05, Vol.15 (1), p.587-594
Hauptverfasser: Gao, Ruimei, Cui, Xiupeng, Li, Zhe
Format: Artikel
Sprache:eng
Schlagworte:
32S22
52C35
Free arrangement
Hyperplanes
Inductively free arrangement
Supersolvable arrangement
Supersolvable order
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Zusammenfassung:In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2017-0052