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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 289. Chapters: Vector space, Group, Modular arithmetic, Number, Galois theory, Group homomorphism, Symmetry group, Normal subgroup, Quotient group, Group isomorphism, Elliptic curve, Group representation, Lagrange's theorem, Elementary group theory, Classification of finite simple groups, List of group theory topics, Conjugacy class, Free group, Group action, Semidirect product, Caesar cipher, Quasigroup, Galois group, Commutator subgroup, Word problem for groups, Solvable group, Parity of a permutation, Center, Inner automorphism, Coset, Characteristic subgroup, Generating set of a group, Product of group subsets, Examples of groups, Cayley's theorem, Nilpotent group, Group object, Direct sum of groups, Centralizer and normalizer, Wreath product, Landau's function, Quaternion group, Burnside's problem, Hamiltonian group, Conjugate closure, List of character tables for chemically important 3D point groups, Representation theory, Lorentz group, Bass-Serre theory, Point groups in three dimensions, Spectral sequence, Banach-Tarski paradox, List of finite simple groups, De Sitter invariant special relativity, Small cancellation theory, Newton's identities, Direct product of groups, Building, Group cohomology, History of group theory, Euclidean plane isometry, Van Kampen diagram, Braid group, Heisenberg group, Stallings theorem about ends of groups, Schoof's algorithm, Modular group, SL2(R), Group of Lie type, Ping-pong lemma, Complex reflection group, Grigorchuk group, Crystallographic restriction theorem, Index of a subgroup, Automorphisms of the symmetric and alternating groups, Grushko theorem, Cayley graph, Glossary of group theory, Multiplicative group of integers modulo n, Erlangen program, Cycle graph, Orbifold notation, Hurwitz's automorphisms theorem, One-dimensional symmetry group, Schur multiplier, Group extension, Rank of...