

This section contains free ebooks and guides on Groups Theory, some of the resources in this section can be viewed online and some of them can be downloaded.




Notes on Group TheoryMark ReederPDF  126 Pages  EnglishThis note covers the following
topics: Notation for sets and functions, Basic group theory, The Symmetric
Group, Group actions, Linear groups, Affine Groups, Projective Groups, Finite
linear groups, Abelian Groups, Sylow Theorems and Applications, Solvable and
nilpotent groups, pgroups, a second look, Presentations of Groups, Building new
groups from old.
 An introduction to group theoryTony GaglionePDF  138 Pages  EnglishThis note explains the
following topics: Sets and mappings, Introduction to Groups, Permutations,
Subsets of a Group and Lagrange’s Theorem, Generating Sets, Cyclic Groups and
Isomorphisms, Factor Groups, Homomorphisms, Solvable Groups, Double Cosets and
Isomorphism Theorems, Direct Products, The Sylow Theorems, JordanHolder
Theorem.
 Group Theory by Ferdi AryasetiawanFerdi AryasetiawanPDF  140 Pages  EnglishThis note describes
the following topics: Abstract Group Theory, Theory of Group Representations,
Group Theory in Quantum Mechanics, Lie Groups, Atomic Physics, The Group SU2:
Isospin, The Point Groups, The Group SU3.
 Geometric Group Theory Preliminary Version Under revisionCornelia Drutu and Michael
KapovichPDF  817 Pages  EnglishThe goal of this book is to present several central topics in geometric
group theory, primarily related to the large scale geometry of infinite groups
and spaces on which such groups act, and to illustrate them with fundamental
theorems such as Gromov’s Theorem on groups of polynomial growth. Topics covered includes: Geometry and
Topology, Metric spaces, Differential geometry, Hyperbolic Space, Groups and
their actions, Median spaces and spaces with measured walls, Finitely generated
and finitely presented groups, Coarse geometry, Coarse topology, Geometric
aspects of solvable groups, Gromov’s Theorem, Amenability and paradoxical
decomposition, Proof of Stallings’ Theorem using harmonic functions.
 Notes on finite group theoryPeter J. CameronPDF  103 Pages  EnglishThis note explains the following
topics: Simple groups, Examples of groups, Group actions, Sylow’s Theorem, Group
extensions, Soluble and nilpotent groups, Symmetric and alternating groups,
Linear groups.
 Combinatorial Group Theory (PDF 99P)Charles
F. MillerPDF  99 Pages  EnglishThis explains the following topics: Free groups and
presentations, Construction of new groups, Properties, embeddings and examples,
Subgroup Theory and Decision Problems.
 Group Theory Lecture Notes (PDF 88P)  Lectures on Geometric Group Theory (PDF 108P)  Algebraic Groups and Discontinuous Subgroups  Group Theory  Algebraic Groups and Arithmetic Groups  LECTURES ON LINEAR ALGEBRAIC GROUPS  Groups, Symmetry and Fractals  Abstract Algebra Number Theory, Group Theory, Galois Theory  Abstract group theory  The Classification of the Finite Simple Groups  Group Characters, Symmetric Functions, and the Hecke Algebra  Classical Groups  Representations of Finite Groups (PDF 75p)  An Introduction to Galois Theory (PDF 130p)  Groups and symmetry (PDF 68p)  Homogeneous spaces and equivariant embeddings 








