Finite simple groups : thirty years of The atlas and beyond / [edited by] Manjul Bhargava...[et al.].
By: International Conference, Finite Simple Groups: Thirty Years of the Atlas and Beyond, Celebrating the Atlases and Honoring John Conway (Princeton, NJ 25 Nov, 2015).
Contributor(s): Bhargava, Manjul [editor]  Guralnick, Robert [editor]  Hiss, Gerhard [editor]  Lux, Klaus [editor]  Tiep, Pham Huu [editor].
Material type: TextSeries: Contemporary mathematics ; 694.Publisher: Providence : American Mathematical Society, ©2017Description: ix, 229 pages : illustrations ; 26 cm.ISBN: 9781470436780 (pbk. : alk. paper).Subject(s): Finite groups  Congresses  Group theory  CongressesDDC classification: 510Item type  Current location  Call number  Status  Date due  Barcode  Item holds  

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ISI Library, Kolkata

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510 Am512c Around Langlands correspondences /  510 Am512c Modern theory of dynamical systems :  510 Am512c Functional analysis, harmonic analysis, and image processing :  510 Am512c Finite simple groups :  510 Am512c Lie algebras, vertex operator algebras, and related topics /  510 Am512c In the tradition of AhlforsBers, VII :  510 Am512c Ordered algebraic structures and related topics / 
Includes bibliographical references.
Moonshine and the meaning of life / YangHui He and John McKay 
The Monster is fabulous / Simon P. Norton 
Majorana representation of the Monster group / A. A. Ivanov 
Letter to Donna Testerman / JeanPierre Serre 
Reliability and reproducibility of Atlas information / Thomas Breuer, Gunter Malle and E. A. O'Brien 
Characters and Brauer trees of the covering group of ²E₆(2) / Frank Lübeck 
Maximal subgroups of sporadic groups / Robert A. Wilson 
Construction of the Thompson Chain of subgroups of the Conway group [dot]O and complete graphs on /n/ letters / R. T. Curtis 
Conway's groupoid and its relatives / Nick Gill, Neil I. Gillespie, Cheryl E. Praeger and Jason Semeraro 
The subgroup structure of finite groups / Michael Aschbacher 
Some remarks on maximal subgroups of finite classical groups / Kay Magaard 
Toward a classification of endotrivial modules / Jon F. Carlson 
Some remarks on global/local conjectures / Gabriel Navarro 
Minuscule weights and Chevalley groups / Meinolf Geck 
A method for building permutation representations of finitely presented groups / Gabriele Nebe, Richard Parker and Sarah Rees 
Character ratios for finite groups of Lie type, and applications / Martin W. Liebeck 
Conjugacy classes, growth and complexity / Aner Shalev 
Permutation groups where nontrivial elements have few fixed points / Rebecca Waldecker.
This volume contains the proceedings of the international conference Finite Simple Groups: Thirty Years of the Atlas and Beyond Celebrating the Atlases and Honoring John Conway, which was held from November 25, 2015, at Princeton University, Princeton, New Jersey.Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics.The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.
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