Supersolvable orders and inductively free arrangements

Ruimei Gao, Xiupeng Cui, and Zhe Li. "Supersolvable orders and inductively free arrangements." Open Mathematics 15.1 (2017): 587-594. <http://eudml.org/doc/288118>.

@article{RuimeiGao2017,
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.},
author = {Ruimei Gao, Xiupeng Cui, Zhe Li},
journal = {Open Mathematics},
keywords = {Free arrangement; Inductively free arrangement; Supersolvable arrangement; Supersolvable order; free arrangement; inductively free arrangement; supersolvable arrangement; supersolvable order},
language = {eng},
number = {1},
pages = {587-594},
title = {Supersolvable orders and inductively free arrangements},
url = {http://eudml.org/doc/288118},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Ruimei Gao
AU - Xiupeng Cui
AU - Zhe Li
TI - Supersolvable orders and inductively free arrangements
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 587
EP - 594
AB - 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.
LA - eng
KW - Free arrangement; Inductively free arrangement; Supersolvable arrangement; Supersolvable order; free arrangement; inductively free arrangement; supersolvable arrangement; supersolvable order
UR - http://eudml.org/doc/288118
ER -