Classifying Spaces of Sporadic Groups

Classifying Spaces of Sporadic Groups

Author: David J. Benson

Publisher:

Published: 2014-05-21

Total Pages: 310

ISBN-13: 9781470413743

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For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology.


Groups of Homotopy Self-Equivalences and Related Topics

Groups of Homotopy Self-Equivalences and Related Topics

Author: Ken-ichi Maruyama

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 330

ISBN-13: 0821826832

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This volume offers the proceedings from the workshop held at the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises the articles relating current research on the group of homotopy self-equivalences, homotopy of function spaces, rational homotopy theory, classification of homotopy types, and equivariant homotopy theory. Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J.W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.


Fusion Systems in Algebra and Topology

Fusion Systems in Algebra and Topology

Author: Michael Aschbacher

Publisher: Cambridge University Press

Published: 2011-08-25

Total Pages: 329

ISBN-13: 1107601002

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A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.


Monoids And Semigroups With Applications - Proceedings Of The Berkeley Workshop In Monoids

Monoids And Semigroups With Applications - Proceedings Of The Berkeley Workshop In Monoids

Author: John Rhodes

Publisher: #N/A

Published: 1991-03-06

Total Pages: 548

ISBN-13: 9814612715

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The purpose of the Berkeley Workshop on Monoids was to give expository talks by the most qualified experts in the emerging main areas of monoid and semigroup theory including applications to theoretical computer science. This was supplemented with current research papers. The topics covered, in an accessible way for the mathematical and theoretical computer community, were: Kernels and expansions in semigroup theory; Implicit operations; Inverse monoids; Varieties of semigroups and universal algebra; Linear semigroups and monoids of Lie type; Monoids acting on tress; Synthesis theorem, regular semigroups, and applications; Type-II conjecture; Application to theoretical computer science and decision problems.


Seventh International Workshop on Database and Expert Systems Applications

Seventh International Workshop on Database and Expert Systems Applications

Author: Roland R. Wagner

Publisher: Institute of Electrical & Electronics Engineers(IEEE)

Published: 1996

Total Pages: 540

ISBN-13:

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Annotation The proceedings of the IEEE International Workshop on Database and Expert Systems Applications, held in September 1996, comprise a total of 25 sessions focusing on object-oriented databases; active and temporal aspects; expert and knowledge- based systems; applications; transaction concepts and physical aspects; advanced database and information system methods; CSCW and workflow management systems; and relational and extended relational approaches. Lacks a subject index. Annotation copyrighted by Book News, Inc., Portland, OR.


Algorithms and Data Structures

Algorithms and Data Structures

Author: Frank Dehne

Publisher: Springer Science & Business Media

Published: 2007-07-30

Total Pages: 675

ISBN-13: 3540739483

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This book constitutes the refereed proceedings of the 10th International Workshop on Algorithms and Data Structures, WADS 2007, held in Halifax, Canada, in August 2007. The papers present original research on the theory and application of algorithms and data structures in all areas, including combinatorics, computational geometry, databases, graphics, parallel and distributed computing.