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Communications in Algebra Volume 30, 2002 - Issue 4
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Original Articles

COMPUTING LARGE DIRECT PRODUCTS OF FREE GROUPS IN INTEGRAL GROUP RINGS

Ángel del Río Departamento de Matemáticas, Universidad de Murcia, 30100, Murcia, Spain
&
Manuel Ruiz Métodos Cuantitativos e Informáticos, Departamento de Ciencias Jurídicas, Universidad Politécnica de Cartagena, Cartagena, Murcia, 30203, Spain
Pages 1751-1767 | Received 01 Apr 2000, Published online: 01 Sep 2006

REFERENCES

  • Allen , P.J. and Hobby , C. 1987 . A Note on the Unit Group of . Proc. A.M.S. , 99 ( 1 ) : 9 – 14 .
  • Hugues , I. and Pearson , K.R. 1972 . The Group of Units of the Integral Group Ring . Canadian Math. Bull. , 15 : 529 – 534 .
  • Jespers , E. and Leal , G. 1991 . Describing Units in Integral Group Rings of Some 2-Groups . Comm. Algebra , 19 : 1809 – 1827 .
  • Jespers , E. 1988 . “ Units in Integral Group Rings: ” . In A Survey.Lect. Notes in Pure and Applied Math , 198 141-169 New York : Marcel Dekker . Methods in Ring Theory
  • Jespers , E. , Leal , G. and del Río , Á . 1996 . Products of Free Groups in the Unit Group of Integral Group Rings . J. Algebra , 180 : 22 – 40. .
  • Jespers , E. and del Río , Á . 2000 . A Structure Theorem for the Unit Group of the Integral Group Ring of some Finite Groups . Journal für die Reine und Angewandte Mathematik , 521 : 99 – 117 .
  • Jespers , E. and Parmenter , M.M. 1992 . Bicyclic Units in . Bull. Soc. Math. Belg , 44 : 141 – 145 .
  • Jespers , E. and Parmenter , M.M. 1993 . Units of Group Rings of Groups of Order 16 . Glasgow Math. J. , 35 : 367 – 379 .
  • Leal , G. and del Río , Á . 1997 . Products of Free Groups in the Unit Group of Integral Group Rings II . J. Algebra , 191 : 240 – 251 .
  • Parmenter , M.M. 1993 . Free Torsion-Free Normal Complements in Integral Group Rings . Comm. Algebra , 21 : 3611 – 3617 .
  • Newman , M. 1972 . Integral Matrices Academic Press .
  • Sehgal , S.K. 1993 . Units of Integral Group Rings Longman Scientific and Technical Essex .

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