Jiaping Lu

collaborators

3 papers

math.GR2026

Generation of Generalised Wreath Products of Symmetric Groups

Jiaping Lu

Let I be a finite partially ordered set and let (Sym(Îi),Îi)i be a sequence of symmetric groups indexed by I. Construct the generalised wreath product (F, Î) on this sequence of…

math.GR2026

Generation of Iterated Wreath Products Constructed from Almost Simple Groups

Jiaping Lu

Let G1, G2, ... be a sequence of almost simple groups and construct a sequence (Wi) of wreath products via W1 = G1 and, for each i > 1, Wi+1 = Gi+1 wr Wi via the regular action of…

math.GR2025

Generation of iterated wreath products constructed from alternating, symmetric and cyclic groups

Jiaping Lu, Martyn Quick

Let $G_{1}$ , $G_{2}$ , ... be a sequence of groups each of which is either an alternating group, a symmetric group or a cyclic group and construct a sequence $(W_{i})$ of wreath pro…