Entropy and Groups

  • Raymond W. Yeung
Part of the Information Technology: Transmission, Processing and Storage book series (PSTE)


The group is the first major mathematical structure in abstract algebra, while entropy is the most basic measure of information. Group theory and information theory are two seemingly unrelated subjects which turn out to be intimately related to each other. This chapter explains this intriguing relation between these two fundamental subjects. Those readers who have no knowledge in group theory may skip this introduction and go directly to the next section.


Finite Group Nonempty Subset Identity Element Entropy Function Left Coset 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Raymond W. Yeung
    • 1
  1. 1.The Chinese University of Hong KongHong Kong

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