An 𝐸𝐿-labeling of the subgroup lattice-Reference-Cited by-同舟云学术

An 𝐸𝐿-labeling of the subgroup lattice

Published:2008-06-09 Issue:11 Volume:136 Page:3795-3801
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Woodroofe Russ

Abstract

In a 2001 paper, Shareshian conjectured that the subgroup lattice of a finite, solvable group has an E L EL -labeling. We construct such a labeling and verify that our labeling has the expected properties.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2008-136-11/S0002-9939-08-09586-5/S0002-9939-08-09586-5.pdf

Reference14 articles.

1. Shellable and Cohen-Macaulay partially ordered sets;Björner, Anders;Trans. Amer. Math. Soc.,1980

2. On lexicographically shellable posets;Björner, Anders;Trans. Amer. Math. Soc.,1983

3. Shellable nonpure complexes and posets. I;Björner, Anders;Trans. Amer. Math. Soc.,1996

4. Shellable nonpure complexes and posets. II;Björner, Anders;Trans. Amer. Math. Soc.,1997

5. Möbius functions of lattices;Blass, Andreas;Adv. Math.,1997

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