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Other titles in the Springer Proceedings in Mathematics series:

Springer Proceedings in Mathematics #10: Buildings, Finite Geometries and Groups: Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010

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Springer Proceedings in Mathematics #10: Buildings, Finite Geometries and Groups: Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010 Cover

 

Synopses & Reviews

Publisher Comments:

This volume collects articles inspired by the Proceedings of the ICM 2010 Satellite Conference on "Buildings, Finite Geometries and Groups" organized at the Indian Statistical Institute, Bangalore, from August 29 - 31, 2010. These contributors include some of the most active researchers in areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, and more. Contributions reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective that the authors bring to their articles on current developments and major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these fields.

Synopsis:

This is the Proceedings of the ICM 2010 Satellite Conference on "Buildings, Finite Geometries and Groups" organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.

Table of Contents

1. On Characterizing Designs By Their Codes (B. Bagchi).- 2. The Geometry of Extremal Elements in a Lie Algebra (A.M. Cohen).- 3. Properties of a 27-dimensional Space of Symmetric Bilinear Forms Acted on by E6 (R. Gow).- 4. On the Geometry of Global Function Fields, the Riemann-Roch Theorem, and Finiteness Properties of S-arithmetic Groups (R. Gramlich).- 5. Some Remarks on Two-Transitive Permutation Groups as Multiplication Groups of Quasigroups (G. Hiss, F. Lübeck).- 6. Curve Complexes Versus Tits Buildings: Structures and Applications (Lizhen Ji).- 7. On Isotypies Between Galois Conjugate Blocks (R. Kessar).- 8. Representations of Unitriangular Groups (T. Le, K. Magaard).- 9. Hermitian Vernonesean Caps (J. Schillewaert, H. Van Maldeghem).- 10. On a Class of c.F4-geometries (A. Pasini).- 11. Buildings and Kac-Moody Groups (B. Rémy).- 12. Some Equations Over Finite Fields Related to Simple Groups of Suzuki and Ree Types (N.S. Narasimha Sastry).- 13. Oppositeness in Buildings and Simple Modules for Finite Groups of Lie Type (P. Sin).- 14. Modular Representations, Old and New (B. Srinivasan).- 15. The Use of Blocking Sets in Galois Geometries and in Related Research Areas (V. Pepe, L. Storme).- 16. Quadratic Actions (F.G. Timmesfeld).- Problem Set.-

Product Details

ISBN:
9781461407089
Author:
Sastry, Narasimha
Publisher:
Springer
Author:
Sastry, N. S. Narasimha
Subject:
Mathematics-Algebraic Geometry
Subject:
Geometry - Algebraic
Subject:
Algebraic Geometry
Subject:
Buildings
Subject:
Cell complexes
Subject:
Chevalley groups.
Subject:
Finite groups
Subject:
Group Theory
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Copyright:
Edition Description:
2011
Series:
Springer Proceedings in Mathematics
Series Volume:
10
Publication Date:
20111031
Binding:
HARDCOVER
Language:
English
Pages:
353
Dimensions:
235 x 155 mm

Related Subjects


» Science and Mathematics » Mathematics » Applied
» Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
» Science and Mathematics » Mathematics » Topology

Springer Proceedings in Mathematics #10: Buildings, Finite Geometries and Groups: Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010 New Hardcover
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Product details 353 pages Springer - English 9781461407089 Reviews:
"Synopsis" by , This is the Proceedings of the ICM 2010 Satellite Conference on "Buildings, Finite Geometries and Groups" organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010. This is a collection of articles by some of the currently very active research workers in several areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lie theory, etc. These articles reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective the authors bring in their articles on the current developments and the major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these areas.
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