When the Lower Central Series Stops: a Comprehensive Study for Braid Groups and Their Relatives

Jacques Darne, Martin Palmer, Arthur Soulie (Autoren)

Buch | Softcover

124 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7331-0 (ISBN)

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The Memoirs of the AMS presents extensive, peer-reviewed research in pure and applied mathematics through in-depth treatises and groups of related papers. Curated by the AMS Editorial Committee of Transactions of the American Mathematical Society, it offers detailed insights into advanced mathematical studies.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Jacques Darne, Universite de Picardie Jules Verne, Amiens, France. Martin Palmer, Institutul de Matematica Simion Stoilow al Academiei Romane, Bucure/cb{s}ti, Romania. Arthur Soulie, Normandie Universite, Caen, France.

Chapters
Introduction
1. General recollections
2. Strategy and first examples
3. Partitioned braids
4. Virtual and welded braids
5. Variants on partitioned welded braids
6. Braids on surfaces
A. Some calculations of lower central series
B. Presentation of an extension

Erscheinungsdatum	02.07.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	254
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7331-3 / 1470473313
ISBN-13	978-1-4704-7331-0 / 9781470473310
Zustand	Neuware