On the shellability of the order complex of the subgroup lattice of a finite group-Reference-Cited by-同舟云学术

On the shellability of the order complex of the subgroup lattice of a finite group

Published:2001-03-12 Issue:7 Volume:353 Page:2689-2703
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Shareshian John

Abstract

We show that the order complex of the subgroup lattice of a finite group G G is nonpure shellable if and only if G G is solvable. A by-product of the proof that nonsolvable groups do not have shellable subgroup lattices is the determination of the homotopy types of the order complexes of the subgroup lattices of many minimal simple groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2001-353-07/S0002-9947-01-02730-1/S0002-9947-01-02730-1.pdf

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