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Item Details
Title: FINITE GROUP THEORY
By: Michael Aschbacher, B. Bollobas, W. Fulton
Format: Hardback

List price: £106.00
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ISBN 10: 0521781450
ISBN 13: 9780521781459
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 3 July, 2000
Edition: 2nd Revised edition
Series: Cambridge Studies in Advanced Mathematics 10
Pages: 320
Description: The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.
Synopsis: During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathematics. Finite Group Theory develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra. It could supply the background necessary to begin reading journal articles in the field. For specialists it also provides a reference on the foundations of the subject. This second edition has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.
Illustrations: 25 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
Some other items by this author:
3-TRANSPOSITION GROUPS
3-TRANSPOSITION GROUPS (HB)
3-TRANSPOSITION GROUPS (PB)
A PRIMER OF NONLINEAR ANALYSIS (PB)
A TRIBUTE TO PAUL ERDOS
A TRIBUTE TO PAUL ERDOS (HB)
A TRIBUTE TO PAUL ERDOS (PB)
A USER'S GUIDE TO SPECTRAL SEQUENCES (HB)
ABELIAN VARIETIES, THETA FUNCTIONS AND THE FOURIER TRANSFORM (HB)
ADDITIVE COMBINATORICS (HB)
AFFINE DIFFERENTIAL GEOMETRY (HB)
ALGEBRAIC AUTOMATA THEORY (PB)
ALGEBRAIC CURVES OVER FINITE FIELDS (PB)
ALGEBRAIC GEOMETRY (PB)
ALGEBRAIC HOMOTOPY (HB)
ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS (HB)
ALGEBRAIC NUMBER THEORY (PB)
AN INTRODUCTION TO HOMOLOGICAL ALGEBRA (PB)
AN INTRODUCTION TO THE THEORY OF THE RIEMANN ZETA-FUNCTION (PB)
ANALYSIS ON FRACTALS (HB)
APPROACHES TO THE THEORY OF OPTIMIZATION (PB)
APPROXIMATION BY ALGEBRAIC NUMBERS (HB)
ARITHMETIC OF QUADRATIC FORMS (PB)
ASSOCIATION SCHEMES (HB)
ASYMPTOTIC EXPANSIONS (PB)
AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (HB)
AUTOMORPHIC FORMS AND REPRESENTATIONS (PB)
AUTOMORPHIC FORMS ON SL2 (R) (HB)
BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (HB)
CALCULUS OF VARIATIONS (HB)
CELLULAR STRUCTURES IN TOPOLOGY (HB)
CLIFFORD ALGEBRAS AND DIRAC OPERATORS IN HARMONIC ANALYSIS (HB)
CLIFFORD ALGEBRAS AND THE CLASSICAL GROUPS (HB)
COHEN-MACAULAY RINGS (PB)
COHOMOLOGY OF DRINFELD MODULAR VARIETIES, PART 2, AUTOMORPHIC FORMS, TRACE FORMULAS AND LANGLANDS CORRESPONDENCE (HB)
COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (PB)
CONTINUUM PERCOLATION (HB)
DERIVATION AND INTEGRATION (HB)
DESIGNS AND THEIR CODES (HB)
DESIGNS AND THEIR CODES (PB)
DUALITY AND PERTURBATION METHODS IN CRITICAL POINT THEORY (HB)
DUALITY IN ANALYTIC NUMBER THEORY (HB)
DYNAMICAL SYSTEMS AND SEMISIMPLE GROUPS (HB)
ENDS OF COMPLEXES (HB)
ERGODIC THEORY (PB)
FINITE FREE RESOLUTIONS (PB)
FINITE GROUP THEORY (HB)
FINITE GROUP THEORY (PB)
FINITE GROUP THEORY (PB)
FINITE PACKING AND COVERING (HB)
FOURIER INTEGRALS IN CLASSICAL ANALYSIS (HB)
FREDHOLM THEORY IN BANACH SPACES (PB)
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (HB)
FUSION SYSTEMS IN ALGEBRA AND TOPOLOGY
FUSION SYSTEMS IN ALGEBRA AND TOPOLOGY (PB)
GALOIS THEORIES (HB)
GAUSSIAN HILBERT SPACES (HB)
GENERAL IRREDUCIBLE MARKOV CHAINS AND NON-NEGATIVE OPERATORS (PB)
GEOMETRIC CONTROL THEORY (HB)
GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES (PB)
GRAPH THEORY (PB)
GRAPH THEORY AND COMBINATORICS 1988 (PB)
GROUPS ACTING ON GRAPHS (HB)
GROUPS AS GALOIS GROUPS (HB)
HARMONIC MAPPINGS IN THE PLANE (HB)
HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II: VOLUME 2 (HB)
HOPF ALGEBRAS (PB)
HYPERBOLICITY AND SENSITIVE CHAOTIC DYNAMICS AT HOMOCLINIC BIFURCATIONS (PB)
IDEAL THEORY (PB)
INFINITE ELECTRICAL NETWORKS (HB)
INTERSECTION THEORY (HB)
INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY (HB)
INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
INTRODUCTION TO HP SPACES (HB)
INTRODUCTORY LECTURES ON SIEGEL MODULAR FORMS (HB)
INVARIANTS OF QUADRATIC DIFFERENTIAL FORMS (PB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 2, SET THEORY (HB)
LECTURES ON VECTOR BUNDLES (HB)
LOCAL COHOMOLOGY (HB)
LOCAL REPRESENTATION THEORY (PB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
MATRICES OF SIGN-SOLVABLE LINEAR SYSTEMS (HB)
MODULAR FORMS AND GALOIS COHOMOLOGY (HB)
MULTIPLE FORCING (HB)
MULTIPLICATIVE NUMBER THEORY I (HB)
MULTIVALENT FUNCTIONS (HB)
NOTES ON TIME DECAY AND SCATTERING FOR SOME HYPERBOLIC PROBLEMS (PB)
ON FUSION SYSTEMS OF COMPONENT TYPE
ON L1-APPROXIMATION (HB)
OVERGROUPS OF ROOT GROUPS IN CLASSICAL GROUPS (PB)
OVERGROUPS OF SYLOW SUBGROUPS IN SPORADIC GROUPS (PB)
POLYCYCLIC GROUPS (PB)
POSITIVE HARMONIC FUNCTIONS AND DIFFUSION (HB)
PROCEEDINGS OF THE RUTGERS GROUP THEORY YEAR, 1983 -1984 (PB)
QUANTUM STOCHASTIC PROCESSES AND NON-COMMUTATIVE GEOMETRY (HB)
QUATERNION FUSION PACKETS
RANDOM FRAGMENTATION AND COAGULATION PROCESSES (HB)
RANDOM GRAPHS (HB)
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (PB)
RANDOM WALKS ON INFINITE GRAPHS AND GROUPS (HB)
REAL ANALYSIS AND PROBABILITY (HB)
REFLECTION GROUPS AND COXETER GROUPS (PB)
REPRESENTATIONS AND CHARACTERS OF FINITE GROUPS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (PB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES (PB)
REPRESENTATIONS OF NILPOTENT LIE GROUPS AND THEIR APPLICATIONS: VOLUME 1, PART 1, BASIC THEORY AND EXAMPLES (PB)
RESULTS AND PROBLEMS IN COMBINATORIAL GEOMETRY
RIEMANNIAN GEOMETRY (PB)
SCHUBERT VARIETIES AND DEGENERACY LOCI (PB)
SOME APPLICATIONS OF MODULAR FORMS (HB)
SOME RANDOM SERIES OF FUNCTIONS (PB)
SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (HB)
SPECTRAL THEORY AND DIFFERENTIAL OPERATORS (PB)
SPECTRAL THEORY OF THE RIEMANN ZETA-FUNCTION (HB)
SPINNING TOPS (HB)
SPORADIC GROUPS
SPORADIC GROUPS (HB)
SPORADIC GROUPS (PB)
STOCHASTIC APPROXIMATION (PB)
STOCHASTIC FLOWS AND STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STONE SPACES (PB)
SURVEYS IN COMBINATORICS
SURVEYS IN COMBINATORICS (PB)
THE CLASSIFICATION OF FINITE SIMPLE GROUPS
THE CLASSIFICATION OF QUASITHIN GROUPS (HB)
THE CLASSIFICATION OF QUASITHIN GROUPS (HB)
THE GENERALIZED FITTING SUBSYSTEM OF A FUSION SYSTEM (PB)
THE GEOMETRY OF FRACTAL SETS (PB)
THE HARDY-LITTLEWOOD METHOD (HB)
THE LEBESGUE INTEGRAL (PB)
THE LEVY LAPLACIAN (HB)
THE LOGARITHMIC INTEGRAL (PB)
THE RIEMANN APPROACH TO INTEGRATION (HB)
THE THEORY OF CLUSTER SETS (PB)
TOLERANCE GRAPHS (HB)
TOPICS IN ERGODIC THEORY (PB)
TOPICS IN METRIC FIXED POINT THEORY (HB)
ULTRAMETRIC CALCULUS (PB)
WAVELETS AND OPERATORS (PB)

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