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Organizers |
Clones closed under conjugation
by
Ágnes Szendrei
University of Szeged
Coauthors: Keith A. Kearnes (University of Colorado)
Let G be a permutation group acting on a set A. A clone C of operations on A is called G-closed if for every operation f(x1, ... , xn) in C, all conjugates fg(x1, ... , xn)=gf(g-1(x1), ... , g-1(xn)) of f by permutations g in G also belong to C. Examples of G-closed clones include Slupecki's and Burle's clones as well as all clones of homogeneous operations. In the talk we will discuss G-closed clones on finite sets for set transitive permutation groups G.
Date received: July 7, 2002
Copyright © 2002 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 # caiv-48.