Fox pairings of Poincaré duality groups

被引：0
|
作者：
Nosaka, Takefumi [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, 2-12-1 Ookayama,Meguro Ku, Tokyo 1528551, Japan
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2024年 / 53卷 / 02期
关键词：
Fox pairing; group cohomology; Poincar & eacute; duality; derivations;
D O I：
10.14492/hokmj/2022-646
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper develops the study of Fox pairings of a group G from the viewpoint of group cohomology. We compute some cohomology groups of Fox pairings of G, where G admits a Poincar & eacute; duality group pair. We also suggest fundamental Fox pairings and higher Fox pairings.
引用
收藏
页码：209 / 233
页数：25
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