## Commuting Quadratic Polynomials |

**Karl Zimmermann**

Union College

February 7, 2012

5 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:45

Take a few minutes and try to find two polynomials that commute under composition, that is, find polynomials $f(x)$ and $g(x)$ with $f\big(g(x)\big) = g\big(f(x)\big)$. There are some fairly easy examples, but beyond these few, the search can be difficult. In this talk, we’ll start with some easy examples and use these to build some new ones. To illustrate that there aren’t too many examples to be found, we’ll show that a quadratic polynomial can commute (under composition) with at most one polynomial of any given degree.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Sun Sep 23 23:50:31 EDT 2018 |