The Isomorphism Problem for Integral Group Rings of a Complete Monomial Group

Abstract

Let G be a complete monomial group with abelian base, namely, G = AwrSym _m , the wreath product of a finite abelian group A with the symmetric group on m letters. Then the group G is determined by its integral group ring.

Key Words:

• Complete monomial groups
• Group rings
• Isomorphism problem

2000 Mathematics Subject Classification:

• Primary 16S34, 20C05
• Secondary 20B05

ACKNOWLEDGMENT

This work is supported by NSERC of Canada.

Notes

Communicated by S. K. Sehgal.