Structural results on the weak commutativity construction
Abstract
Abstract The weak commutativity group χ ( G ) \chi(G) is generated by two isomorphic groups 𝐺 and G φ G^{\varphi} subject to the relations [ g , g φ ] = 1 [g,g^{\varphi}]=1 for all g ∈ G g\in G . We obtain new expressions for the terms of the derived series and the lower central series of χ ( G ) \chi(G) . We also present new bounds for the exponent of some sections of χ ( G ) \chi(G) .
Fields of Study & Subjects
Finite Group Theory Research
Advanced Topics in Algebra
Geometric and Algebraic Topology
Publication details
- Journal / source
- Journal of Group Theory
- Publication date
- 13 February 2026
- Language
- EN