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arXiv · 2308.12920

Minimal algebraic complexes over $D_{4n}$

Wajid Mannan·Seamus O'Shea
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Abstract

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

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Wajid Mannan, Seamus O'Shea. 2023-08-24. Minimal algebraic complexes over $D_{4n}$. https://doi.org/10.2140/agt.2013.13.3287

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