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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc504440 |
| Date | 08 1900 |
| Creators | Dobson, Edward T. (Edward Tauscher) |
| Contributors | Brand, Neal E., Kung, Joseph P. S. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 67 leaves, Text |
| Rights | Public, Dobson, Edward T. (Edward Tauscher), Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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