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Abelian Group

Abelian Group

A Group is abelian if $a ⋆ b = b ⋆ a$ (ie: it's commutative).

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Pages mentioning this page

14 Matrix Groups

16 Homomorphisms, Isomorphisms

22 Centralizers and Normalizers, Stabilizers and Kernels

31 Quotient Groups and Homomorphisms

32 Cosets and Lagrange's Theorem

MT 1 Review (Abstract Algebra)

02 - Properties of Groups

03 - Dihedral Groups

04 - Families of Groups

05 - Homomorphisms and Isomorphisms

08 - Centralizers, Normalizers, and Stabilizers

10 - Midterm Review

14 Lagrange's Theorem

Z over nZ - The Integers Modulo n

Cycle and Cycle Decomposition

Dihedral Groups

Quaternion Group

Prime Order Groups are Cyclic and Z_p

42 Groups Acting on Themselves by Left Multiplication - Cayley's Theorem

15 Cosets and Usage of Lagrange's Theorem

Abstract Algebra MOC