An initial exploration on group rings defined over some finite groups

SPEAKER: Fabio García

Universidad Sergio Arboleda

ABSTRACT

A group ring is an algebraic structure that may be constructed from an arbitrary group and a commutative ring. Formally, it is the ring of functions from the group to the ring, such that multiplication preserves the group operation. A group ring has a representation as a ring of matrices with entries in the original ring. In this talk some properties of the rings of real-valued functions on groups of order 6 or less are described. A necessary and sufficient condition for an element to be a zero divisor is also given..

 Date: August 12 th,2015
 Time: 6 PM

 Classroom: A601