In this article we describe the stable behavior of the augmentation quotients Qn(G) for the groups G of order p 5 with even numbers of generators, where p is an odd prime. 2010 Mathematics Subject Classification: 16S34, 20C05 Keywords: integral group ring, augmentation quotient group, stable behavior Algebra Colloq. 2016.23:189-204. Downloaded from www.worldscientific.com by MCMASTER UNIVERSITY on 06/15/16. For personal use only.