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Author: Michael L. Mihalik Publisher: American Mathematical Soc. ISBN: 0821825313 Category : Free products Languages : en Pages : 98
Book Description
In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.
Author: Michael L. Mihalik Publisher: American Mathematical Soc. ISBN: 0821825313 Category : Free products Languages : en Pages : 98
Book Description
In this work, the authors show that amalgamated products and HNN-extensions of finitely presented semistable at infinity groups are also semistable at infinity. A major step toward determining whether all finitely presented groups are semistable at infinity, this result easily generalizes to finite graphs of groups. The theory of group actions on trees and techniques derived from the proof of Dunwoody's accessibility theorem are key ingredients in this work.
Author: Anilatmaja Aryasomayajula Publisher: Springer ISBN: 981105648X Category : Mathematics Languages : en Pages : 294
Book Description
This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.
Author: Michael W. Davis Publisher: Springer ISBN: 3319436740 Category : Mathematics Languages : en Pages : 179
Book Description
This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.
Author: Ross Geoghegan Publisher: Springer Science & Business Media ISBN: 0387746145 Category : Mathematics Languages : en Pages : 473
Book Description
This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.
Author: Jean-Pierre Gabardo Publisher: American Mathematical Soc. ISBN: 0821825518 Category : Mathematics Languages : en Pages : 111
Book Description
In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.
Author: André Joyal Publisher: American Mathematical Soc. ISBN: 0821823124 Category : Mathematics Languages : en Pages : 87
Book Description
In this paper we compare, in a precise way, the concept of Grothendieck topos to the classical notion of topological space. The comparison takes the form of a two-fold extension of the idea of space.
Author: Cristiano Husu Publisher: American Mathematical Soc. ISBN: 0821825712 Category : Mathematics Languages : en Pages : 98
Book Description
The main axiom for a vertex operator algebra (over a field of characteristic zero), the Jacobi identity, is extended to multi-operator identities. Then relative [bold capital]Z2-twisted vertex operators are introduced and a Jacobi identity for these operators is established. Then these ideas are used to interpret and recover the twisted [bold capital]Z-operators and corresponding generating function identities developed by Lepowsky and R. L. Wilson. This work is closely related to the twisted parafermion algebra constructed by Zamolodchikov-Fateev.
Author: Percy Deift Publisher: American Mathematical Soc. ISBN: 0821825402 Category : Mathematics Languages : en Pages : 114
Book Description
The authors show how to interpret recent results of Moser and Veselov on discrete versions of a class of classical integrable systems, in terms of a loop group framework. In this framework the discrete systems appear as time-one maps of integrable Hamiltonian flows. Earlier results of Moser on isospectral deformations of rank 2 extensions of a fixed matrix, can also be incorporated into their scheme.
Author: Jacek Nikiel Publisher: American Mathematical Soc. ISBN: 0821825615 Category : Mathematics Languages : en Pages : 95
Book Description
Continuous images of ordered continua are investigated. The paper gives various properties of their monotone images and inverse limits of their inverse systems (or sequences) with monotone bonding surjections. Some factorization theorems are provided. Special attention is given to one-dimensional spaces which are continuous images of arcs and, among them, various classes of rim-finite continua. The methods of proofs include cyclic element theory, T-set approximations and null-family decompositions. The paper brings also new properties of cyclic elements and T-sets in locally connected continua, in general.
Author: Stanley O. Kochman Publisher: American Mathematical Soc. ISBN: 0821825585 Category : Mathematics Languages : en Pages : 105
Book Description
This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.
Author: Michael L. Mihalik
Author: Michael L. Mihalik
Author: Anilatmaja Aryasomayajula
Author: Michael W. Davis
Author: Ross Geoghegan
Author: Jean-Pierre Gabardo
Author: André Joyal
Author: Cristiano Husu
Author: Percy Deift
Author: Jacek Nikiel
Author: Stanley O. Kochman