An EL-labeling of the subgroup lattice

Details An EL-labeling of the subgroup lattice An EL-labeling of the subgroup lattice

2007-08-27

arxiv.org/abs/0708.3539v3

Proc. Amer. Math. Soc. 136 (2008), no. 11, 3795-3801

Mathematics

Combinatorics

8 pages. v2 has minor exposition improvements and typos fixed, and one reference added. v3 has typos fixed

Scientific paper

10.1090/S0002-9939-08-09586-5

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

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