View Proposal #284
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| ID | 284 |
|---|---|
| First Name | Peter |
| Last Name | Blanchard |
| Institution | University of Iowa |
| Speaker Category | faculty |
| Title of Talk | Unit-connected pseudo-arithmetic super sets in the Gaussian Integers |
| Abstract | A set is pseudo-arithmetic if it has a difference which divides all other differences. A set is a pseudo-arithmetic super set if every subset is a pseudo-arithmetic set. Every pseudo-arithmetic super set can be contracted to have a unit difference, so the classification of pseudo-arithmetics super sets in Z[i] starts with the units. We give a complete classification of the unit-connected pseudo-arithmetic super sets in Z[i], and discuss which are maximal, which are bounded, and which may be extended. |
| Subject area(s) | combinatorics, algebra |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | |
| Bringing a laptop? | Y |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 10/10/2010 |
| Year | 2010 |