Property (LR) for finite index supergroups of limit groups

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Let GG be a limit group, and let HH be a finite index supergroup of GG. The limit-group supergroup conjecture. The group HH has property (LR). This is motivated by Wilton's theorem that limit groups have property (LR); the question is whether this property persists under passage to finite index supergroups.

References

Primary source

Ashot Minasyan, “Property (LR) and an embedding theorem for virtually free groups”, arXiv:2603.17596 (2026).

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