Quipu: Decorated Permutation Representations Of Finite Groups: 77

Quipu: Decorated Permutation Representations Of Finite Groups: 77 book cover

Quipu: Decorated Permutation Representations Of Finite Groups: 77

Author(s): Yongju Bae (Author), J Scott Carter (Author), Byeorhi Kim (Author)

  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication Date: 23 July 2024
  • Language: English
  • Print length: 456 pages
  • ISBN-10: 9811292752
  • ISBN-13: 9789811292750

Book Description

This book studies dihedral groups, dicyclic groups, other finite subgroups of the 3-dimensional sphere, and the 2-fold extensions of the symmetric group on 4 letters from the point of view of decorated string diagrams of permutations. These are our metaphorical quipu. As you might expect, the book is replete with illustrations. In (almost) all cases, explicit diagrams for the elements of the group are given. The exception is the binary icosahedral group in which only the generators and relations are exhibited.

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