Residually rationally solvable one‐relator groups

Key Points

• The intersection of the rational derived series in a one-relator group is rationally perfect and generated by one element.
• It identifies the specific conditions under which a one-relator group can be considered residually rationally solvable.
• The findings support a deeper understanding of group theory and rational solvability concepts.
• Insights into the characteristics of one-relator groups could lead to further development in algebraic structures.