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Author : Jens Voß
Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Rank-2-amalgams with dihedral groups as residues by : Jens Voß
Download or read book Rank-2-amalgams with dihedral groups as residues written by Jens Voß. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Voss
Release : 1993
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Randk-2-amalgams with Dihedral Groups as Residues by : J. Voss
Download or read book Randk-2-amalgams with Dihedral Groups as Residues written by J. Voss. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Aschbacher
Release : 2004
Genre : Computers
Kind : eBook
Book Rating : 118/5 ( reviews)
Book Synopsis The Classification of Quasithin Groups by : Michael Aschbacher
Download or read book The Classification of Quasithin Groups written by Michael Aschbacher. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: In around 1980, G. Mason announced the classification of a subclass of an important class of finite simple groups known as 'quasithin groups'. In the main theorem of this two-part work the authors provide a proof of a stronger theorem classifying a larger class of groups independently of Mason's research.
Author : MICHAEL W. DAVIS
Release : 2024
Genre : Infinite groups
Kind : eBook
Book Rating : 436/5 ( reviews)
Book Synopsis Infinite Group Actions on Polyhedra by : MICHAEL W. DAVIS
Download or read book Infinite Group Actions on Polyhedra written by MICHAEL W. DAVIS. This book was released on 2024. Available in PDF, EPUB and Kindle. Book excerpt: In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.
Author : Benson Farb
Release : 2006-09-12
Genre : Mathematics
Kind : eBook
Book Rating : 385/5 ( reviews)
Book Synopsis Problems on Mapping Class Groups and Related Topics by : Benson Farb
Download or read book Problems on Mapping Class Groups and Related Topics written by Benson Farb. This book was released on 2006-09-12. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.
