Proceedings of the Conference on Finite Groups provides information pertinent to the fundamental aspects of finite group theory. This book presents the problem of characterizing simple groups in terms of the local structure of a group.
Organized into five parts encompassing 43 chapters, this book begins with an overview of the characterization of the Chevalley groups over fields of odd order and indicates the role of this characterization in the theory of component type groups. This text then examines the structure as well as the representations of specific simple groups. Other chapters consider the general theory of representations and characters of finite groups. This book discusses as well permutation groups and the connection between group theory and geometry. The final chapter deals with finite solvable groups as well as the theory of formations.
This book is a valuable resource for mathematicians, graduate students, and research workers.

List of ContributorsPrefacePart I. Local Structure A Characterization of Certain Chevalley Groups and Its Application to Component Type Groups Finite Groups of Alternating Type Finite Groups of 2-Local 3-Rank at Most 1 Finite Simple Groups of Characteristic 2,3-Type 3-Structure in Finite Simple Groups Finite Groups of PSL(2,q)-Type Some Characterizations by Centralizers of Elements of Order Three A Characterization of PSp4(3m) by the Gentralizer of an Element of Order Three Characterization of 3D4(q3),q = 2n by Its Sylow 2-Subgroup Signalizer Functors Strongly Closed 2-Subgroups of Finite GroupsPart II. The Known Simple Groups The Structure of the "Monster" Simple Groups On the Simple Group F of Order 214 · 36 · 56 · 7 · 11 · 19 A Monomial Character of Fischer's Baby Monster On the Irreducible Characters of a Simple Group of Order 241 · 313 · 56 · 72 · 11 · 13 · 17 · 19 · 23 · 31 · 47 A Setting for the Leech Lattice The Submodule Construction of Weyl Modules for Groups of Type A1 On the 1-Cohomology of Finite Groups of Lie Type Field Automorphisms and Maximal Subgroups of Finite Chevalley Groups On the Degrees of Certain Characters of Chevalley GroupsPart III. Representations The Main Problem of Block Theory On Projective Representations of Finite Wreath Products Theorems Relating Finite Groups and Division Algebras Exceptional Characters of Finite Groups with a Frobenius Subgroup Simple Groups with a Cyclic Sylow Subgroup On Finite Linear Groups in Dimension at Most 10 Nonexistence of a Finite Group with a Specified 7-Block Linear Groups Containing an Element with an Eigenspace of Codimension Two On Finite Complex Linear Groups of Degree (q-l)/2 Sylow Automizers of Odd Order or An Application of Coherence On Groups of Central TypePart IV. Permutation Groups Two-Transitive Extensions of Some Groups The Non-Existence of Rank-3 Transitive Extensions of the Higman-Sims Simple Group On the n,2n Problem of Michael Fried Block Designs from Frobenius Groups and Planar Near-Rings Geometry of Groups of Lie Type Locally Dual Affine GeometriesPart V. Solvable Groups The Hughes Problem and Generalizations A Normalizer Condition on Finite p-Groups Products of Formations p-n Groups and p-Saturated Formations Irreducible Modules of Solvable Groups Are Algebraic Certain Frobenius Groups Acting Fixed-Point-Free on Solvable Groups Bounding the Fitting Length of a Finite Group