Enumerative combinatorics
Handbook of combinatorics (vol. 1)
Handbook of combinatorics (vol. 2)
On the Möbius number of the subgroup lattice of the symmetric group
Journal of Combinatorial Theory Series A
Links in the complex of separable graphs
Journal of Combinatorial Theory Series A
Hypergraph matching complexes and Quillen complexes of symmetric groups
Journal of Combinatorial Theory Series A
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We determine the homotopy type of the order complex of the subgroup lattice of the symmetric group Sn when n is a prime or a power of two. (The prime case has been treated previously in unpublished work of G. Ivanyos.) We do the same for alternating groups of prime degree. In addition, we show that, for any n 1, the homology of the order complex of the subgroup lattice of Sn has rank at least n!/2 in dimension n - 3.