Ádám's Conjecture and Its Generalizations

• Main Author: Dobson, Edward T. (Edward Tauscher)
• Other Authors: Brand, Neal E.
• Format: Others
• Language: English
• Published: University of North Texas 1990
• Subjects: Ádám's conjecture; CI-groups; Isomorphisms (Mathematics); Polynomials.
• Online Access: https://digital.library.unt.edu/ark:/67531/metadc504440/

This paper examines idam's conjuecture and some of its generalizations. In terms of Adam's conjecture, we prove Alspach and Parson's results f or Zpq and ZP2. More generally, we prove Babai's characterization of the CI-property, Palfy's characterization of CI-groups, and Brand's result for Zpr for polynomial isomorphism's. We also prove for the first time a characterization of the CI-property for 1 SG, and prove that Zn is a CI-Pn-group where Pn is the group of permutation polynomials on Z,, and n is square free.