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Conjugator Length in the Baumslag-Gersten Group

math.GR · 2025-07-29 · conditional · novelty 7.0

The conjugator length function of the Baumslag-Gersten group grows as a tower of exponentials of logarithmic height, between E(⌊(1/3)log₂n⌋-1,1) and E(⌊log₂n⌋,1), and that of the m-th iterated Baumslag-Solitar group is ≃ E(m-1,n).

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  • Conjugator Length in the Baumslag-Gersten Group math.GR · 2025-07-29 · conditional · none · ref 8

    The conjugator length function of the Baumslag-Gersten group grows as a tower of exponentials of logarithmic height, between E(⌊(1/3)log₂n⌋-1,1) and E(⌊log₂n⌋,1), and that of the m-th iterated Baumslag-Solitar group is ≃ E(m-1,n).