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Original Articles

K-characters and group invariants

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Pages 1-27 | Received 01 Oct 1994, Published online: 27 Jun 2007

References

  • Bergmann , A. 1965 . Formen auf Moduln über kommutativen Ringen beliebiger Charakteristik . J.reine angew.Math , 219 : 113 – 156 .
  • Bergmann , A. 1966 . Hauptnorm und Struktur von Algebren . J.reine angew.Math , 222 : 160 – 194 . 3. Bourbaki, N. Algebre, I. Paris 1970
  • Bourbaki , N. 1970 . Algèbre,I Paris
  • Brandt , H. 1928 . Idealtheorie in Quaternionalgebren . Math.Ann , 99 : 1 – 29 .
  • Brown , R. , Gilbert , N.D. , Hoehnke , H.J. and Shrimpton , J. 1990 . “ Non-abelian tensor products of groups; groupoids; and higher order symmetry ” . In UCNW Maths , Bangor : Univ. of Wales . Preprint 91.14
  • Feit , W. 1967 . Characters of finite groups , New York : Benjamin .
  • Formanek , E. and Sibley , D. 1992 . The group determinant determines the group . Proc.Amer.Math.Soc , 112 : 649 – 656 .
  • Frobenius , G. 1896 . “ Über Gruppencharaktere ” . In Sber. Preuss Akad 985 – 1021 . Berlin, wiss
  • Frobenius , G. 1896 . “ Über die Primfaktoren der Gruppendeterminante ” . In Sber. Preuss. Akad 1343 – 1382 . Berlin, Wiss
  • Gauss , C.F. Disquisitiones Arithmeticae , Vol. 1801 , Leipzig .
  • Hoehnke , H.J. 1958 . Über komponierbare Formen und konkordante hyperkomplexe Grössen . Math. Zeitschr , 70 : 1 – 12 .
  • Hoehnke , H.J. 1960 . “ Konstruktive Methoden in der Theorie der Algebren I, Monatsber ” . In Deutsch. Akad Vol. 2 , 138 – 146 . Berlin, Wiss
  • Hoehnke , H.J. 1967 . Über Beziehungen zwischen Problemen von H. Brandt aus der Theorie der Algebren und den Automorphismen der Normenform . Math. Nachr , 34 : 229 – 255 .
  • Hoehnke , H.J. and J.And Johnson , K.W. 1992 . The 1-, 2- and 3-characters determine a group . Bull. Amer. Math. Soc , 27 : 243 – 245 .
  • Hoehnke , H.J. and Johnson , K.W. 3-characters are sufficient for the group determinant . Proceedings of the Second International conference on Algebra . Vol. 184 , pp. 193 – 206 . Contemporary Mathematics
  • Johnson , K.W. 1991 . On the group determinant . Math. Proc. Cambridge Phil. Soc , 109 : 299 – 311 .
  • Johnson , K.W. and Sehgal , S.K. 1993 . The 2-character table does not determine a group . Proc. Amer. Math. Soc , 119 : 1021 – 1027 .
  • Kheser , M. Komposition quadratischer Formen . Algebra Conference Halle . 1986 . Vol. 33 , Tagungsband, Wiss : Beiträge Halle . Saale
  • Kneser , M. , Knus , M.A. , Ojanguren , M. , Parimala , R. and Sridharan , R. 1986 . Composition of quaternary quadratic forms . Compositio Math , 60 : 133 – 150 .
  • Mansfield , R. 1992 . A group determinant determines its group . Proc. Amer. Math. Soc , 116 : 939 – 941 .
  • Roitman , M.A. 1981 . A complete set of invariants for finite groups and other results . Advances in Math , 41 : 301 – 311 .
  • Schmähling , R. 1973 . Separable Algebren über kommutativen Ringen . J. reine angew. Math , 262-263 : 307 – 322 .
  • Waterhouse , W.C. 1973 . Composition of norm-type forms . J. Reine Angew. Math , 353 : 85 – 97 .
  • Ziplies , D. 1983 . Dividierte Potenzen, Determinanten und die Algebra der verallgemeinerten Spurpolynome . Diss. Univ. Düsseldorf , 353
  • Zipliess , D. 1986 . Divided powers and multiplicative polynomial laws . Comm. Alg , 14 ( 1 ) : 49 – 108 .
  • Zipliess , D. 1987 . Generators for the divided powers algebra of an algebra and trace identities . Beiträge zur Algebra und Geometrie , 24 ( 1 ) : 9 – 27 .

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