Computations of classical Mahowald invariants at prime 2

2025/10/06 by Dongming Zhang, Zhang, Kaixu, Zhang, Dongming
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2510.05062

Abstract

We review the definition of Mahowald invariants and discuss the computational method of Mark Brehens introduced in [arXiv:math/0507182]. Then we examine the relationship between the algebraic Mahowald invariants and the \( E \)-filtered Mahowald invariants, and compute the Mahowald invariants for most elements up to the 26-stem.

Citations

• Stable homotopy groups of spheres: From dimension 0 to 90
• Root invariants in the Adams spectral sequence
• On conjectures of Mahowald, Segal and Sullivan

Related

• Linking Invariants for Valuations and Orderings on Fields
• On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes
• The use of the invariant's properties in the primality test and prime search
• Computing L-invariants via the Greenberg-Stevens formula
• Survey on recent invariants on classical knot theory