Supersolvable orders and inductively free arrangements

• Autorzy: Ruimei Gao , Xiupeng Cui , Zhe Li
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Free arrangement; Inductively free arrangement; Supersolvable arrangement; Supersolvable order

Kategorie tematyczne

• 52C35: Arrangements of points, flats, hyperplanes
• 32S22: Relations with arrangements of hyperplanes

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 587-594

Daty

wydano

2017-05-06

otrzymano

2016-08-02

zaakceptowano

2017-01-26

online

2017-05-06

Twórcy

autor

Ruimei Gao

• , , , ,,

autor

Xiupeng Cui

• , , , ,,

autor

Zhe Li

• , , , ,,

Identyfikatory

DOI

10.1515/math-2017-0052