School Seminars and Colloquia

Free subgroups of groups with few relations

Algebra/Geometry/Topology Seminar

by John Wilson


Institution: Oxford
Date: Fri 20th January 2012
Time: 3:15 PM
Location: 213 Richard Berry

Abstract: A result resembling Steinitz' exchange lemma from linear algebra will be discussed: if G is a group having a presentation with n generators and r relations, where r < n, then any generating set for G contains n - r elements that freely generate a free subgroup.