SEMINAR: Groups and Combinatorics Seminar, Phill Schultz (UWA)

Speaker: Phill Schultz (University of Western Australia)

Title: Canonical Decompositions of Abelian Groups

Time and place: 16:00 Friday 26/05/2017 in Weatherburn LT

Abstract: A canonical decomposition theorem for a category of algebraic structures states that every object A has an essentially unique direct sum decomposition A = B_1 + ... + B_n in which each B_i has a specified structure. For example, every finitely generated abelian group A can be decomposed as A = F + T where F is free and T is finite. I describe a canonical decomposition theorem for the category of finite rank torsion-free abelian groups.

Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/S17.html