The singular twisted virtual pure braid monoid and two related submonoids are characterized as kernels of epimorphisms to the symmetric group, with explicit presentations, plus a monoid-to-group embedding and representation extension result.
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The monoid structure of singular twisted virtual braids
The singular twisted virtual pure braid monoid and two related submonoids are characterized as kernels of epimorphisms to the symmetric group, with explicit presentations, plus a monoid-to-group embedding and representation extension result.