Year: 2025
Type: preprint
Abstract: The weak commutativity group $χ(G)$ is generated by two isomorphic groups $G$ and $G^{φ}$ subject to the relations $[g,g^φ]=1$ for all $g \in G$. We obtain new expressions for the terms of the derived series and the lower central series of $χ(G)$. We also present new bounds for the exponent of some sections of $χ(G)$.
Source: arXiv (Cornell University)
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415110893
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