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411 REFERENCE · Wikibooks

Group Theory

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center|200px|Decorative picture. Table of Contents /Groups, subgroups and constructions/ /Representations/ /Cosets and Lagrange's theorem/ /Normal subgroups and the Noether isomorphism theorems/ /Cardinality identities for finite representations/ /Free products and amalgamated sums/ /The category of groups/ /Abelian groups and the Grothendieck group of a monoid/ /The action by conjugation and p-groups/ /Simple groups and Sylow's theorem/ /Subnormal subgroups and series/ /Commutators, solvable and nilpotent groups/ /Characteristic subgroups/ /The symmetric group/ /The Cayley graph and group actions on trees/ /The Bass‒Serre theorems/ /Splittings and the semidirect product/ /Groups with hyperbolic Cayley graphs/ /Group cohomology/ /Group objects/ /Groups with structure/ /Topological groups/ References Aschbacher, Finite Group Theory M. Artin, Algebra Serre, Trees Algebra 50%