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· 2012

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A nonabelian twist on differences of bijections

math.GR · 2026-05-15 · unverdicted · novelty 6.0

Provides a cycle-tiling criterion equating quotient-realizability to decompositions into product-one words whose partial-product sets tile G by right translates, and shows the abelianization condition fails to be sufficient via a counterexample in S3.

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  • A nonabelian twist on differences of bijections math.GR · 2026-05-15 · unverdicted · none · ref 9

    Provides a cycle-tiling criterion equating quotient-realizability to decompositions into product-one words whose partial-product sets tile G by right translates, and shows the abelianization condition fails to be sufficient via a counterexample in S3.