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Locally compact piecewise full groups of homeomorphisms

math.GR · 2025-01-01 · conditional · novelty 7.0

Local decomposability characterises when a piecewise full group admits a unique non-discrete t.d.l.c. topology, and the resulting alternating full group is an open, compactly generated, simple derived subgroup that is universal within the class SLD.

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  • Locally compact piecewise full groups of homeomorphisms math.GR · 2025-01-01 · conditional · none · ref 1

    Local decomposability characterises when a piecewise full group admits a unique non-discrete t.d.l.c. topology, and the resulting alternating full group is an open, compactly generated, simple derived subgroup that is universal within the class SLD.