Supersolvable orders and inductively free arrangements-Reference-Cited by-同舟云学术

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Supersolvable orders and inductively free arrangements

Published:2017-05-06 Issue:1 Volume:15 Page:587-594
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Gao Ruimei¹,Cui Xiupeng²,Li Zhe¹

Affiliation:

1. Department of Science, Changchun University of Science and Technology, Changchun, 130022, China

2. School of Basic Science, Changchun University of Technology, Changchun, 130012, China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0052/pdf

Reference30 articles.

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4. Free arrangements of hyperplanes and supersolvable lattices;Adv. Math.,1984

5. Multiderivations of Coxeter arrangements;Invent. Math.,2002

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