3 citations · 3 across the 4 of their papers we have counts for
5 papers
Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
Jiaping Lu
The rank of a semigroup is the cardinality of a smallest generating set. In this paper, we introduce iterated wreath products of transformation semigroups. We determine the rank of…
Generation of Generalised Wreath Products of Symmetric Groups
Jiaping Lu
Let I be a finite partially ordered set and let (Sym(Δi),Δi)i be a sequence of symmetric groups indexed by I. Construct the generalised wreath product (F, Δ) on this sequence of pe…
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…
Generation of iterated wreath products constructed from alternating, symmetric and cyclic groups
Jiaping Lu, Martyn Quick
Let , , ... be a sequence of groups each of which is either an alternating group, a symmetric group or a cyclic group and construct a sequence of wreath pro…
Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy
Jiaping Lu, Chao-Zhong Wu
An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hier…