Algebra. Carbondale 1980.: Lie Algebras, Group Theory and Partially Ordered Algebraic Structures. Proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18-19, 1980

A ¿new¿ proof of kaplansky's theorem on simple Lie algebras of rank one.- The classification problem for simple lie algebras of characteristic p.- Representations of certain classical Lie algebras.- A combinatorial theory of symmetry and applications to Lie algebras.- Closures of conjugacy classes in classical real linear Lie groups.- Explicit expressions for the generators of the center of the enveloping algebra of real lie algebras and for the algebra of bivariant operators on the group.- Simple lie groups and the legendre symbol.- Polynomial representations of GLn.- An application of the serre conjecture to semisimple algebraic groups.- The blocks of the general linear group GL(n,q).- A conjugacy theorem for carter subgroups in groups with min-p for all p.- Transversals, S-rings and centraliser rings of groups.- Recent results on finite complete groups.- K-radical classes of lattice ordered groups.- The distinguished completion of a lattice ordered group.- Elementary types of automorphisms of linearly ordered sets¿A survey.- Polycyclic right-ordered groups.- Generalized semigroup rings.- The natural partial order on semirings.- Some complete antinormal subgroups of infinite symmetric groups.- Special elements in semiprime rings.- The Hahn embedding theorem: Analysis, refinements, proof.