View Proposal #226
If this proposal belongs to you, you are authorized to update it. Use the menu on the right.
| ID | 226 |
|---|---|
| First Name | Bokhee |
| Last Name | Im |
| Institution | Chonnam National University, Rep. of Korea |
| Speaker Category | faculty |
| Title of Talk | Certain quasigroup homogeneous spaces |
| Abstract | A quasigroup is defined as a set Q equipped with a multiplication, not necessarily associative, such that in the equation x y=z, knowledge of any two of the elements x, y, z of Q specifies the third uniquely. In particular, the solution for x in terms of y and z is written as z/y. The body of the multiplication table of a finite quasigroup is a Latin quare. Nonempty associative quasigroups are groups. In this talk, we consider the usual direct product G of the symmetric group of degree 3 and the cyclic group of order 2. By changing some intercalates of the body of the multiplication table of the group G, we get various quasigroup structures on the set G. We study homogeneous spaces derived from such a quasigroup and show how each action matrix acts on an orbit contained in the homogeneous space. Action matrices show the approximate symmetry. |
| Subject area(s) | algebra ( combitorics ) |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | |
| Bringing a laptop? | N |
| Overhead Needed? | N |
| Software requests | Latex |
| Special Needs | |
| Date Submitted | 3/18/2008 |
| Year | 2008 |