The 1-, 2-, and 3-characters determine a group
Authors:
- H.-J. HoehnkeHHH.-J. Hoehnke
- K. W. JohnsonKJK. W. Johnson
- 1 October 1992
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 27 (2) , 243-245
Abstract
A set of invariants for a finite group is described. These arise naturally from Frobenius’ early work on the group determinant and provide an answer to a question of Brauer. Whereas it is well known that the ordinary character table of a group does not determine the group uniquely, it is a consequence of the results presented here that a group is determined uniquely by its "3-character" table.Keywords
This publication has 9 references indexed in Scilit:
- The 2-Character Table Does Not Determine a GroupProceedings of the American Mathematical Society, 1993
- The Group Determinant Determines the GroupProceedings of the American Mathematical Society, 1991
- On the group determinantMathematical Proceedings of the Cambridge Philosophical Society, 1991
- A complete set of invariants for finite groups and other resultsAdvances in Mathematics, 1981
- New light on Frobenius' creation of the theory of group charactersArchive for History of Exact Sciences, 1974
- The origins of the theory of group charactersArchive for History of Exact Sciences, 1971
- Über Beziehungen zwischen Problemen von H. BRANDT aus der Theorie der Algebren und den Automorphismen der NormenformMathematische Nachrichten, 1967
- Über komponierbare Formen und konkordante hyperkomplexe GrößenMathematische Zeitschrift, 1958
- Idealtheorie in QuaternionenalgebrenMathematische Annalen, 1928