1. [Abstract Algebra](http://en.wikipedia.org/wiki/Abstract_algebra)
2. [Group Theory](http://en.wikipedia.org/wiki/Group_theory)
3. [Symmetry](http://en.wikipedia.org/wiki/Symmetry)
4. [Algebraic Structure](http://en.wikipedia.org/wiki/Algebraic_structure)
5. [Group](http://en.wikipedia.org/wiki/Group_(mathematics))
6. [Semigroup](http://en.wikipedia.org/wiki/Semigroup)
7. [Subgroup](http://en.wikipedia.org/wiki/Subgroup)
8. [Generator of a Group](http://en.wikipedia.org/wiki/Generating_set_of_a_group)
9. [Monoid](http://en.wikipedia.org/wiki/Monoid)
10. [Commutative Group](http://en.wikipedia.org/wiki/Abelian_group)
11. [Non-commutative Group](http://en.wikipedia.org/wiki/Non-abelian_group)
12. [Magma (mathematics)](http://en.wikipedia.org/wiki/Magma_(algebra))
13. [Ring](http://en.wikipedia.org/wiki/Ring_(mathematics))
14. [Field](http://en.wikipedia.org/wiki/Field_(mathematics))
15. [General Linear Group](http://en.wikipedia.org/wiki/General_linear_group)
15.1. [Weil Conjectures](http://en.wikipedia.org/wiki/Weil_conjectures)
15.1.1. [Complex Projective Space](http://en.wikipedia.org/wiki/Complex_projective_space)
15.1.2. [Etale Cohomology](http://en.wikipedia.org/wiki/%C3%89tale_cohomology)
15.1.3. [Euler System](http://en.wikipedia.org/wiki/Euler_system)
15.1.4. [Lefschetz Hyperplane Theorem](http://en.wikipedia.org/wiki/Lefschetz_hyperplane_theorem)
15.2. [Projective Linear Group](http://en.wikipedia.org/wiki/Projective_linear_group)
15.3. [Invertible Matrix](http://en.wikipedia.org/wiki/Invertible_matrix)
15.3.1. [Cholesky Decomposition](http://en.wikipedia.org/wiki/Cholesky_decomposition)
15.3.2. [Involutory Matrix](http://en.wikipedia.org/wiki/Involutory_matrix)
15.3.2.1. [Determinant](http://en.wikipedia.org/wiki/Determinant)
15.3.2.2. [Involution](http://en.wikipedia.org/wiki/Involution)
15.3.2.3. [Block Matrix](http://en.wikipedia.org/wiki/Block_matrix)
15.3.3. [Cayley-Hamilton Theorem](http://en.wikipedia.org/wiki/Cayley%E2%80%93Hamilton_theorem)
15.3.3.1. [Multilinear Form](http://en.wikipedia.org/wiki/Multilinear_form)
15.3.3.2. [Polynomial Long Division](http://en.wikipedia.org/wiki/Polynomial_long_division)
15.3.3.3. [Adjugate Matrix](http://en.wikipedia.org/wiki/Adjugate_matrix)
15.3.3.3.1. [Diophantine Equation](http://en.wikipedia.org/wiki/Diophantine_equation)
15.3.3.3.2. [Cramer's Rule](http://en.wikipedia.org/wiki/Cramer's_rule)
15.3.4. [Outer Product](http://en.wikipedia.org/wiki/Outer_product)
15.3.4.1. [Inner Product Space](http://en.wikipedia.org/wiki/Inner_product_space)
15.3.4.2. [Kronecker Product](http://en.wikipedia.org/wiki/Kronecker_product)
15.4. [General Position](http://en.wikipedia.org/wiki/General_position)
15.4.1. [Bezout's Theorem](http://en.wikipedia.org/wiki/B%C3%A9zout's_theorem)
15.4.2. [Kodaira Dimension](http://en.wikipedia.org/wiki/Kodaira_dimension)
15.4.3. [Divisor (Algebraic Geometry)](http://en.wikipedia.org/wiki/Divisor_(algebraic_geometry))
15.5. [Group Isomorphism](http://en.wikipedia.org/wiki/Group_isomorphism)
15.5.1. [Order of a Group](http://en.wikipedia.org/wiki/Order_(group_theory))
15.5.2. [Kernel (algebra)](http://en.wikipedia.org/wiki/Kernel_(algebra))
15.5.3. [Category of Groups](http://en.wikipedia.org/wiki/Category_of_groups)
15.5.4. [List of Small Groups](http://en.wikipedia.org/wiki/List_of_small_groups)
15.5.4.1. [Additive Group](http://en.wikipedia.org/wiki/Additive_group)