Subgroups of R. Thompson's Group F that are Isomorphic to F
This paper studies when a pair of elements in F are the images of the standard generators of F under a self monomorphism.
math.GR↗
arXiv subjects
Publications and source records attributed to Bronlyn Wassink.
This paper studies when a pair of elements in F are the images of the standard generators of F under a self monomorphism.
The authors classify the finite index subgroups of R. Thompson's group $F$. All such groups that are not isomorphic to $F$ are non-split extensions of finite cyclic groups by $F$. The classification describes precisely which finite index subgroups of $F$ are isomorphic to $F$, and also separates the isomorphism classes of the finite index subgroups of $F$ which are not isomorphic to $F$ from each other; characterizing the structure of the extensions using properties of the structure of the finite index subgroups of $Z\times Z$.