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math.AT2002★ 10 cited
Connectivity of the coset poset and the subgroup poset of a group
Daniel A. Ramras
We study the connectivity of the coset poset and the subgroup poset of a group, focusing in particular on simple connectivity. The coset poset was recently introduced by K. S. Brow…
math.GR2002
Connectivity of the coset poset
Daniel A. Ramras
Topological concepts may be applied to any poset via the simplicial complex of finite chains. The coset poset C(G) of a finite group G (consisting of all cosets of all proper subgr…