English

Minimal algebraic complexes over $D_{4n}$

Algebraic Topology 2023-08-25 v1

Abstract

We show that cancellation of free modules holds in the stable class Ω3(Z)\Omega_3(\mathbb{Z}) over dihedral groups of order 4n4n. In light of a recent result on realizing kk-invariants for these groups, this completes the proof that all all dihedral groups satisfy the D(2) property.

Cite

@article{arxiv.2308.12920,
  title  = {Minimal algebraic complexes over $D_{4n}$},
  author = {Wajid Mannan and Seamus O'Shea},
  journal= {arXiv preprint arXiv:2308.12920},
  year   = {2023}
}

Comments

Paper published in peer reviewed journal in 2013

R2 v1 2026-06-28T12:03:39.663Z