Brace blocks from bilinear maps and liftings of endomorphisms

We extend two constructions of Alan Koch, exhibiting methods to construct brace blocks, that is, families group operations on a set $G$ such any them induce skew structure $G$. these by using bilinear maps and liftings endomorphisms quotient groups with respect central subgroup. provide several examples the construction, showing there are blocks which consist distinct given cardinality. One we give yields an answer question Cornelius Greither. This example exhibits sequence $p$-adic Heisenberg $(G, \cdot)$ converges original operation "$\cdot$".