volume 27, issue 1, P137-154 2002
DOI: 10.1007/s00454-001-0057-4
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Abstract: It was shown in [11] that there are no (non-trivial) two-and three-dimensional Z-acyclic vertex-homogeneous simplicial complexes. In this paper we construct a fivedimensional example and further examples in higher dimensions, one of which is Oliver's example of dimension 11, the only previously known example of a non-contractible Zacyclic vertex-homogeneous simplicial complex. We also present an infinite series of contractible vertex-homogeneous simplicial complexes by starting with one of the Z-acyclic examp…

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