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Expansion in Finite Simple Groups of Lie Type

, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation;

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Modular Representations of Finite Groups of Lie Type

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively;

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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

subgroup of $G$ has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of $G$, then the subgroup is called non;

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Simple Groups of Lie Type

Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to;

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Groups, Combinatorics and Geometry

geometric methods in group theory; geometries and related groups; finite and algebraic groups of Lie type; finite permutation groups; further;

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Lectures on Buildings

In mathematics, 'buildings' are geometric structures that represent groups of Lie type over an arbitrary field. This concept is critical to;

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Representations of Finite Groups of Lie Type

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type;

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Representations of Finite Groups of Lie Type

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type;

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Groups of Lie Type and their Geometries

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading;

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Finite and Locally Finite Groups

as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni;

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Cambridge Studies in Advanced Mathematics

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed;

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Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type

For a finite group $G$ of Lie type and a prime $p$, the authors compare the automorphism groups of the fusion and linking systems of $G$ at;

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Lie Groups and Lie Algebras

of Lie groups and algebras, ranging from the geometry of regular polytopes and paving problems to current work on finite simple groups having a;

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and;

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Points and Lines

naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by;

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Structure Theory

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on;

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Linear Algebraic Groups & Finite Groups

subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a;

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Lévy Processes in Lie Groups

The theory of Levy processes in Lie groups is not merely an extension of the theory of Levy processes in Euclidean spaces. Because of the;

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3-Transposition Groups

classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups;

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Cambridge Tracts in Mathematics

classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups;

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Cambridge Tracts in Mathematics

classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups;

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Theory Of Groups And Symmetries

This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie;

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Groups and Manifolds

course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to;

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Perturbation Methods

of Lie Type: Conjugacy Classes and Complex Characters R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental;

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On Fusion Systems of Component Type

This memoir begins a program to classify a large subclass of the class of simple saturated 2-fusion ;...

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Writing Small Omegas

theory of finite continuous groups, critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use;

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Iwahori-Hecke Algebras and their Representation Theory

theory of finite groups of Lie type. This volume consists of notes of the courses on Iwahori-Hecke algebras and their representation theory;

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