Groups Acting on Regular Graphs and Group Amalgams

Groups Acting on Regular Graphs and Group Amalgams PDF Author: D. Z. Djokovic
Publisher:
ISBN:
Category :
Languages : en
Pages : 36

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Groups Acting on Regular Graphs and Group Amalgams

Groups Acting on Regular Graphs and Group Amalgams PDF Author: D. Z. Djokovic
Publisher:
ISBN:
Category :
Languages : en
Pages : 36

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Investigations in Algebraic Theory of Combinatorial Objects

Investigations in Algebraic Theory of Combinatorial Objects PDF Author: I.A. Faradzev
Publisher: Springer Science & Business Media
ISBN: 9401719721
Category : Mathematics
Languages : en
Pages : 513

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Book Description
X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed.

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

Geometry of Sporadic Groups: Volume 2, Representations and Amalgams PDF Author: Aleksandr Anatolievich Ivanov
Publisher: Cambridge University Press
ISBN: 0521623499
Category : Mathematics
Languages : en
Pages : 306

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Book Description
The second in a two-volume set, for researchers into finite groups, geometry and algebraic combinatorics.

Algebraic Methods in Graph Theory

Algebraic Methods in Graph Theory PDF Author: László Lovász
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 468

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Symplectic Amalgams

Symplectic Amalgams PDF Author: Christopher Parker
Publisher: Springer Science & Business Media
ISBN: 1447101650
Category : Mathematics
Languages : en
Pages : 362

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Book Description
The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups. In all there sixteen infinite families of symplectic amalgams together with 62 more exotic examples. The classification touches on many important aspects of modern group theory: * p-local analysis * the amalgam method * representation theory over finite fields; and * properties of the finite simple groups. The account is for the most part self-contained and the wealth of detail makes this book an excellent introduction to these recent developments for graduate students, as well as a valuable resource and reference for specialists in the area.

Investigations in Algebraic Theory of Combinatorial Objects

Investigations in Algebraic Theory of Combinatorial Objects PDF Author: I.A. Faradzev
Publisher: Springer Science & Business Media
ISBN: 9780792319276
Category : Mathematics
Languages : en
Pages : 534

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Book Description
X Köchendorffer, L.A. Kalu:lnin and their students in the 50s and 60s. Nowadays the most deeply developed is the theory of binary invariant relations and their combinatorial approximations. These combinatorial approximations arose repeatedly during this century under various names (Hecke algebras, centralizer rings, association schemes, coherent configurations, cellular rings, etc.-see the first paper of the collection for details) andin various branches of mathematics, both pure and applied. One of these approximations, the theory of cellular rings (cellular algebras), was developed at the end of the 60s by B. Yu. Weisfeiler and A.A. Leman in the course of the first serious attempt to study the complexity of the graph isomorphism problem, one of the central problems in the modern theory of combinatorial algorithms. At roughly the same time G.M. Adelson-Velskir, V.L. Arlazarov, I.A. Faradtev and their colleagues had developed a rather efficient tool for the constructive enumeration of combinatorial objects based on the branch and bound method. By means of this tool a number of "sports-like" results were obtained. Some of these results are still unsurpassed.

Algorithmic Problems in Groups and Semigroups

Algorithmic Problems in Groups and Semigroups PDF Author: Jean-Camille Birget
Publisher: Springer Science & Business Media
ISBN: 1461213886
Category : Mathematics
Languages : en
Pages : 312

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Book Description
This volume contains papers which are based primarily on talks given at an inter national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998. The conference coincided with the Centennial Celebration of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln on the occasion of the one hun dredth anniversary of the granting of the first Ph.D. by the department. Funding was provided by the US National Science Foundation, the Department of Math ematics and Statistics, and the College of Arts and Sciences at the University of Nebraska-Lincoln, through the College's focus program in Discrete, Experimental and Applied Mathematics. The purpose of the conference was to bring together researchers with interests in algorithmic problems in group theory, semigroup theory and computer science. A particularly useful feature of this conference was that it provided a framework for exchange of ideas between the research communities in semigroup theory and group theory, and several of the papers collected here reflect this interac tion of ideas. The papers collected in this volume represent a cross section of some of the results and ideas that were discussed in the conference. They reflect a synthesis of overlapping ideas and techniques stimulated by problems concerning finite monoids, finitely presented mono ids, finitely presented groups and free groups.

The Mathieu Groups

The Mathieu Groups PDF Author: A. A. Ivanov
Publisher: Cambridge University Press
ISBN: 1108429785
Category : Mathematics
Languages : en
Pages : 185

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Book Description
The Mathieu Groups are presented in the context of finite geometry and the theory of group amalgams.

Topics in Algebraic Graph Theory

Topics in Algebraic Graph Theory PDF Author: Lowell W. Beineke
Publisher: Cambridge University Press
ISBN: 9780521801973
Category : Mathematics
Languages : en
Pages : 302

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Book Description
There is no other book with such a wide scope of both areas of algebraic graph theory.

Algebraic Theory of the Bianchi Groups

Algebraic Theory of the Bianchi Groups PDF Author: Fine
Publisher: CRC Press
ISBN: 9780824781927
Category : Mathematics
Languages : en
Pages : 272

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