Shelling the coset poset.

DOI10.1016/j.jcta.2006.08.010zbMath1137.20016arXivmath/0306346OpenAlexW2093698107MaRDI QIDQ880012

Russ Woodroofe

Publication date: 10 May 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306346

zbMATH Keywords

finite groupsorder complexessubgroup latticescoset posetscoset latticescomplemented groupslexicographic shellings

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Products of subgroups of abstract finite groups (20D40)

Related Items

Order complexes of coset posets of finite groups are not contractible. ⋮ On Boolean intervals of finite groups

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The top homology of the lattice of subgroups of a soluble group
• Finite soluble groups
• Whitney homology of semipure shellable posets
• The theory of finite groups. An introduction.
• Subgroup lattices of groups
• Combinatorics and commutative algebra.
• The coset poset and probabilistic zeta function of a finite group
• Minimal nicht überauflösbare, endliche Gruppen
• On the shellability of the order complex of the subgroup lattice of a finite group
• On Lexicographically Shellable Posets
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Lectures on Polytopes
• Shellable nonpure complexes and posets. II
• Shellable Nonpure Complexes and Posets. I
• Shellable Decompositions of Cells and Spheres.
• Connectivity of the coset poset and the subgroup poset of a group
• Complemented Groups
• On complemented subgroups of finite groups