Wreath Products of Groups and Semigroups By J D P Meldrum
1995 | 336 Pages | ISBN: 0582026938 | DJVU | 3 MB
Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behavior, but also in quite fundamental settings. They occur in many applications in science, particularly in physics and chemistry

Benoit Fresse, "Homotopy of Operads and Grothendieck-teichmuller Groups: The Applications of Rational Homotopy Theory Methods "
English | ISBN: 1470434822 | 2017 | 704 pages | PDF | 5 MB
The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.

Benoit Fresse, "Homotopy of Operads and Grothendieck-teichmuller Groups: The Algebraic Theory and Its Topological Background "
English | ISBN: 1470434814 | 2017 | 532 pages | PDF | 5 MB
The Grothendieck-Teichmuller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck-Teichmuller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.

Divining Desire: Focus Groups and the Culture of Consultation by Liza Featherstone
English | May 4th, 2021 | ISBN: 1944869484, 1682195090 | 320 pages | True EPUB | 1.39 MB
Over the course of the last century, the focus group has become an increasingly vital part of the way companies and politicians sell their products and policies. Few areas of life, from salad dressing to health care legislation to our favorite TV shows, have been left untouched by the questions put to controlled groups about what they do and don't like.Divining Desireis the first-ever popular survey of this rich topic.

Enumeration of Finite Groups by SIMON R BLACKBURN
pdf | 1.93 MB | English | Isbn:‎ 978-0521882170 | Author: Blackburn Neumann Venkataraman | Year: 2007

Introduction to Lie groups and Symplectic Geometry
pdf | 1.25 MB | English | Isbn:‎ B078NDK91P | Author: Sergio Blanes | Year: 2017

Barth Ethnic Groups And Boundaries
pdf | 61.09 MB | English | Isbn:‎ B00GTSRCR6 | Author: Fredrik Barth | Year: 1998

-, "Power and Protest: How Marginalized Groups Oppose the State and Other Institutions "
English | ISBN: 183909835X | 2021 | pages | PDF | 3 MB
Power and Protest presents chapters that analyse the dynamics of power in social movements. Examining how marginalized groups use their identities, resources, cultural traditions, violence and non-violence to assert power and exert pressure, this volume shines a light on the interaction of these groups with governments, international organizations, businesses and universities.

Cohomology of Arithmetic Groups L Functions and Automorphic Forms
pdf | 9.85 MB | English | Isbn:‎ 978-8173194214 | Author: T. N. Venkataramana | Year: 2002

Compact Lie Groups by Mark R. Sepanski
English | PDF | 2007 | 208 Pages | ISBN : 0387302638 | 1.7 MB
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.