By Victor Guba
Diagram teams are teams inclusive of round diagrams (pictures) over monoid shows. they are often additionally outlined as basic teams of the Squier complexes linked to monoid shows. The authors express that the category of diagram teams includes a few famous teams, akin to the R. Thompson staff $F$. This type is closed below loose items, finite direct items, and a few different group-theoretical operations. The authors boost combinatorics on diagrams just like the combinatorics on phrases. This is helping find a few constitution and algorithmic houses of diagram teams. a few of these homes are new even for R. Thompson's team $F$. particularly, the authors describe the centralizers of parts in $F$, turn out that it has solvable conjugacy challenge, and extra.
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