2D problems in groups

Abstract

We investigate a conjecture about stabilisation of deficiency in finite index subgroups and relate it to the D2 Problem of C.T.C. Wall and the Relation Gap problem. We verify the pro-$p$ version of the conjecture, as well as its higher dimensional abstract analogues.

comments welcome, some references added in v2

References in corpus (2)

• Two remarks on Wall's D2 problem
• Partial Euler Characteristic, Normal Generations and the stable D(2) problem