Classification of the congruence classes of A5n (n ≥ 6) with 2-torsion free homology

• 作者: Jianzhong Pan Zhongjian Zhu
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（7）
• 页码范围: 1409-1428
• 页数: 20页
• 语种: 英文

摘要

In this paper,we classify the congruence classes of Fn5n(2)-polyhedra,i.e.,(n-1)-connected,at most (n + 5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to the homotopy theory by Baues and Drozd (1999).