Graphs arising from the dual Steenrod algebra
Abstract
Abstract We extend Wood’s graph theoretic interpretation of certain quotients of the mod 2 dual Steenrod algebra to quotients of the mod p dual Steenrod algebra where p is an odd prime and to quotients of the $$C_2$$ C 2 -equivariant dual Steenrod algebra. We establish connectedness criteria for graphs associated to monomials in these algebra quotients and investigate questions about trees and Hamilton cycles in these settings. We also give graph theoretic interpretations of algebraic structures such as the coproduct and antipode arising from the Hopf algebra structure on the mod p dual Steenrod algebra and the Hopf algebroid structure of the $$C_2$$ C 2 -equivariant dual Steenrod algebra.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of Homotopy and Related Structures
- Volume
- 21
- Issue
- 2
- Pages
- 307–345
- Publication date
- 3 February 2026
- Language
- EN