Ideals in group algebras of simple locally finite groups of 1-type

Felix Leinen and Orazio Puglisi

Vol. 207 (2002), No. 2, 433–445

DOI: 10.2140/pjm.2002.207.433

Abstract

Let K be any field of characteristic zero. We show that there are at least four ideals in the group algebra KG of every simple locally finite group G of 1-type, thus providing the final step in solving an old question of I. Kaplansky’s for locally finite groups. We also determine the ideal lattice in KG for those 1-type groups G which are a direct limit of finite direct products of alternating groups.

Milestones

Published: 1 December 2002