A Family of Some Complexes with Group Presentations

• 来源期刊: 代数集刊（英文版）
• 关键词: cell complexes 3-manifolds group presentations spines
• 年，卷（期）: 2007,（2）
• 页码范围: 295-300
• 页数: 6页
• 语种: 英文

摘要

On the boundary of a polyhedron, we construct a tessellation consisting of 8n pentagons (n ≥ 3)The tessellation produces a family of 3-dimensional orientable closed manifolds with a spine, which correspond to group presentations.We determine the group presentations and their homology groups.