MATH CLUB ANNOUNCEMENT
Cyclical Differentiable Groups
Dr. Paul O’Hara, Math Dept., NEIU
Friday, March 20, 2009
2:30-3:30 PM
SCI-242
Abstract
Usually cyclic groups are associated with modulo arithmetic or the n-roots of unity. In
this talk we will present a cyclic group that can be generated by differentiating any
element in the group (n-1) times. We will show that each element can be represented by
a power series, and that the sum of all the elements is always the exponential function.
In the process we will also establish a natural generalization of De Moivre's theorem and
of Fermat’s last theorem. The talk presupposes only knowledge of trigonometry and the
Taylor expansion.
All faculty, student and staff are
welcome to attend
The Math Club schedule is now posted
at www.neiu.edu/~mathclub