User:Brendan196883/Books/Group Theory

Group Theory

 * Group theory


 * Group actions
 * Group action
 * Erlangen program


 * Group actions on groups
 * Centralizer and normalizer
 * Conjugacy class


 * Geometric group theory
 * Cayley graph
 * Ping-pong lemma


 * Types of groups
 * Matrix group
 * Classical group
 * Algebraic group
 * Linear algebraic group
 * Projective linear group
 * Euclidean group
 * Lie group


 * Solvable groups
 * Solvable group
 * Commutator subgroup
 * Subgroup series
 * Composition series
 * Triangular matrix


 * Nilpotent groups
 * Nilpotent group
 * Central series
 * Unipotent


 * (B,N) pairs etc
 * (B, N) pair
 * Borel subgroup
 * Maximal torus
 * Bruhat decomposition
 * Generalized flag variety
 * Generalized permutation matrix
 * Grassmannian
 * Stiefel manifold