Combinatorial Characters of Quasigroups

  • Jonathan D. H. Smith
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 20)


Over a century ago, when the character theory of finite abelian groups had become established, Dedekind began the programme of extending the theory to finite non-abelian groups. Having made little headway a decade later, he proposed the task to Frobenius. Developments progressed rapidly in Frobenius’ hands, along both Dedekind’s original group determinant approach and Frobenius’ new approach that is now considered part of the theory of association schemes. Shortly afterwards, representation theory methods using matrices took over, and have dominated ever since.


Conjugacy Class Association Scheme Character Table Steiner Triple System Character Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York, Inc. 1990

Authors and Affiliations

  • Jonathan D. H. Smith
    • 1
  1. 1.Department of MathematicsIowa State UniversityAmesUSA

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