arXiv subjects

Seamus O'Shea

Publications and source records attributed to Seamus O'Shea.

2 recordsLinked to original sources

arXiv2023

Minimal algebraic complexes over $D_{4n}$

We show that cancellation of free modules holds in the stable class $Ω_3(\mathbb{Z})$ 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.

math.AT↗

arXiv2012

Stably free modules over virtually free groups

Let $F_m$ be the free group on $m$ generators and let $G$ be a finite nilpotent group of non square-free order; we show that for each $m\ge 2$ the integral group ring ${\bf Z}[G\times F_m]$ has infinitely many stably free modules of rank 1.

math.RA↗