Group Closures of Partial Transformations
by
Japheth Wood
University of Louisville
Coauthors: I. Levi

Let X be an infinite set, f a partial one-to-one transformation of X, and H a normal subgroup of G_X, the group of all permutations of X. We investigate when H is equal to G_<f:H>. That is, we are interested when H is the full group of centralizers of the semigroup of transformations on X generated by conjugates of f by elements of H.

Date received: May 18, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafg-05.