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Original Articles

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

Pages 4407-4412 | Received 01 Aug 2007, Published online: 11 Dec 2008

REFERENCES

  • Giambruno , A. , Sehgal , S. K. ( 1992 ). Automorphisms of the integral group ring of the wreath product of a p-group with S n . Rocky Mountain J. Math. 22 : 1303 – 1316 .
  • Giambruno , A. , Sehgal , S. K. , Valenti , A. ( 1990 ). Automorphism of the integral group rings of some wreath products . Comm. Alg. 19 : 1989 – 2005 .
  • Hertweck , M. ( 2001 ). A counterexample to the isomorphism problem for integral group rings . Ann. Math. 154 : 115 – 138 .
  • Mazur , M. ( 1995 ). On the isomorphism problem for integral group rings of infinite groups . Expo. Math. 13 : 433 – 445 .
  • Parmenter , M. M. , Sehgal , S. K. ( 1993 ). Automorphisms of the integral group ring of the wreath product of a p-group with S n , the case n = 2 . Rocky Mountain J. Math. 23 : 1379 – 1383 .
  • Peterson , G. L. ( 1976 ). Automorphisms of the integral group ring of S n . Proc. Amer. Math. Soc. 59 : 14 – 18 .
  • Peterson , G. L. ( 1977 ). On the automorphism group of an integral group ring, II . Illinois J. Math. 21 : 836 – 844 .
  • Petit Lobão , T. , Sehgal , S. K. ( 2003 ). The normalizer property for integral group rings of complete monomial groups . Comm. Alg. 31 : 2971 – 2983 .
  • Polcino Milies , C. , Sehgal , S. K. ( 2002 ). An Introduction to Group Rings . Dordrecht : Kluwer Academic Publishers .
  • Sehgal , S. K. ( 1978 ). Topics in Group Rings . New York and Basel : Marcel Dekker .
  • Sehgal , S. K. ( 1993 ). Units in Integral Group Rings . Essex : Longman Scientific and Technical .
  • Valenti , A. ( 1992 ). On the automorphism group of the integral group ring of S k wr S n . J. Pure Appl. Alg. 78 : 203 – 211 .
  • Communicated by S. K. Sehgal.

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