FEA Johnson

Infinite splitting in the syzygies of quaternionic groups

→ F 0 → R → 0) be a free resolution over the group ring R[Φ] where R is commutative and Φ is finite.The n th syzygy Ω R[Φ] n is the stable class of Im(∂ n ) and has a tree structure with roots which do not extend infinitely downwards.We show that Ω R[Q8p] 3 has infinitely many is...