Monoids that map onto the Thompson-Higman groups

Mathematics – Group Theory

Scientific paper

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17 pages

Scientific paper

A slight modification of the definition of the Thompson-Higman groups G_k1
and F_k1 leads to inverse monoids that map onto G_k1 (respectively F_k1), and
that have interesting properties: they are finitely generated, and residually
finite. These inverse monoids are closely related to the suffix expansion of
G_k1 (respectively F_k1).

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