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On the shellability of the order complex of the subgroup lattice of a finite group
Author(s):
John
Shareshian
Journal:
Trans. Amer. Math. Soc.
353
(2001),
2689-2703.
MSC (1991):
Primary 06A11;
Secondary 20E15
Posted:
March 12, 2001
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Abstract:
We show that the order complex of the subgroup lattice of a finite group  is nonpure shellable if and only if  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.
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Additional Information:
John
Shareshian
Affiliation:
California Institute of Technology, Pasadena, California 91125
Address at time of publication:
Department of Mathematics, University of Miami, Coral Gables, Florida 33124
Email:
shareshi@math.miami.edu
DOI:
10.1090/S0002-9947-01-02730-1
PII:
S 0002-9947(01)02730-1
Received by editor(s):
February 18, 1999
Received by editor(s) in revised form:
May 1, 1999
Posted:
March 12, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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