3 citations · 3 across the 4 of their papers we have counts for
Showing 2026Show all
3 papers · 1 filter
math.GR2026
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…
math.GR2026
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…
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…