Representations and a Theorem of Krasner and Kaloujnine

  • Katalin A. Bencsáth
  • Marianna C. Bonanome
  • Margaret H. Dean
  • Marcos Zyman
Chapter
First Online:
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

We present the permutation representations of both Cayley and Frobenius. With these we develop a remarkable theorem by Krasner and Kaloujnine on the universality of unrestricted wreath products for group extensions.

Keywords

Cayley Frobenius Faithful permutation representation Krasner and Kaloujnine theorem Faithful action Unrestricted wreath product 
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Copyright information

© Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman 2013

Authors and Affiliations

  • Katalin A. Bencsáth
    • 1
  • Marianna C. Bonanome
    • 2
  • Margaret H. Dean
    • 3
  • Marcos Zyman
    • 3
  1. 1.Department of Mathematics and Computer ScienceManhattan CollegeNew YorkUSA
  2. 2.Department of Applied Mathematics and Computer Science New York City College of TechnologyThe City University of New YorkBrooklynUSA
  3. 3.Department of Mathematics Borough of Manhattan Community CollegeThe City University of New YorkNew YorkUSA

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