Graded left modular lattices are supersolvable
组合数学
2007-05-23 v2
摘要
We provide a direct proof that a finite graded lattice with a maximal chain of left modular elements is supersolvable. This result was first established via a detour through EL-labellings in [McNamara-Thomas] by combining results of McNamara and Liu. As part of our proof, we show that the maximum graded quotient of the free product of a chain and a single-element lattice is finite and distributive.
关键词
引用
@article{arxiv.math/0404544,
title = {Graded left modular lattices are supersolvable},
author = {Hugh Thomas},
journal= {arXiv preprint arXiv:math/0404544},
year = {2007}
}
备注
7 pages; 2 figures. Version 2: typos and a small error corrected; diagrams prettier; exposition improved following referee's suggestions; version to appear in Algebra Universalis