Quipu: Decorated Permutation Representations Of Finite Groups

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Yongju Bae (Kyungpook National University, South Korea) J Scott Carter (Univ Of South Alabama, Usa)

Quipu

Decorated Permutation Representations Of Finite Groups

Yongju Bae (Kyungpook National University, South Korea), J Scott Carter (Univ Of South Alabama, Usa), Byeorhi Kim (Pohang University Of Science And Technology, South Korea)

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English

World Scientific Publishing Co Pte Ltd
23 July 2024

Algebra; Groups & group theory

Series: Series on Knots & Everything

Summary
Details

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.

By: Yongju Bae (Kyungpook National University South Korea), J Scott Carter (Univ Of South Alabama, Usa), Byeorhi Kim (Pohang University Of Science And Technology, South Korea)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 77
ISBN: 9789811292750
ISBN 10: 9811292752
Series: Series on Knots & Everything
Pages: 456
Publication Date: 23 July 2024
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active