General introduction to the special odd case General lemmas Theorem $C^*_2$: Stage 1 Theorem $C^*_2$: Stage 2 Theorem $C_2$: Stage 3 Theorem $C_2$: Stage 4 Theorem $C_2$: Stage 5 Theorem $C_3$: Stage 1 Theorem $C_3$: Stages 2 and 3 IV$_K$: Preliminary properties of $K$-groups Background references Expository references Glossary Index.

http://inis.jinr.ru/sl/M_Mathematics/MA_Algebra/MAtg_Group%20theory/Gorenstein%20D.,%20Lyons%20R.,%20Solomon%20R.%20Classification%20of%20finite%20simple%20groups%201%20(AMS%20survey%2040%20no.1,%201994,%202000)(176s).pdf

The Classification of the Finite Simple Groups

Homotopy properties of the poset of nontrivial p-subgroups of a group

In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced. Of course, the solution will have a considerable effect on many related areas, both within group theory and outside. The purpose of this article is to consider the theory of finite permutation groups with the assumption that the finite simple groups are known, and to examine questions such as: which problems are solved or solvable under this assumption, and what important problems remain?

Finite permutation groups and finite simple groups

On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field

It is shown that every ‘proper-hypergeometric’ multisum/integral identity, orq-identity, with a fixed number of summations and/or integration signs, possesses a short, computer-constructible proof We give a fast algorithm for finding such proofs Most of the identities that involve the classical special functions of mathematical physics are readily reducible to the kind of identities treated here We give many examples of the method, including computer-generated proofs of identities of Mehta-Dyson, Selberg, Hille-Hardy,q-Saalschutz, and others The prospect of using the method for proving multivariate identities that involve an arbitrary number of summations/integrations is discussed

An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities

Group Algebras. The Green and Brauer Correspondences, the First Main Theorem. Characters, Higher Decomposition Numbers, the Second Main Theorem. Subsections, Lower Defect Groups, the Third Main Theorem. Blocks and Extensions of R. Blocks with a Cyclic Defect Group. Groups with a Sylow Group of Prime Order. The Structure of A(G). p-Solvable Groups. An Analogue of Jordan's Theorem. Types of Blocks.

The representation theory of finite groups

Characters of finite groups

/pdf/solvability-of-groups-of-odd-order-atht60wc6a.pdf

Solvability of groups of odd order

I wish to thank the organizers of this symposium for inviting me to speak and enabling me to discuss some consequences of the classification of the finite simple groups.

Finite Simple Groups

/pdf/on-finite-rational-groups-and-related-topics-3xpx6b3r42.pdf

Walter Feit

Papers

The representation theory of finite groups

Characters of finite groups

Solvability of groups of odd order

Finite Simple Groups

On finite rational groups and related topics