Connectedness of graphs arising from the dual Steenrod algebra

被引：1

作者：

Larson, Donald M. ^{[1
]}

机构：

[1] Catholic Univ Amer, 620 Michigan Ave NE, Washington, DC 20064 USA

来源：

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2022年 / 17卷 / 01期

关键词：

Steenrod algebra; Hopf algebras; Graph theory;

D O I：

10.1007/s40062-022-00300-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish connectedness criteria for graphs associated to monomials in certain quotients of the mod 2 dual Steenrod algebra A*. We also investigate questions about trees and Hamilton cycles in the context of these graphs. Finally, we improve upon a known connection between the graph theoretic interpretation of A* and its structure as a Hopf algebra.

引用

页码：145 / 161

页数：17