# Category:Abstract Algebra

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This category contains pages that are part of the * Abstract Algebra* book. If a page of the book isn't showing here, please add text

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to the end of the page concerned. You can view a list of all subpages under the book main page (not including the book main page itself), regardless of whether they're categorized, here.The following 77 pages are in this category, out of 77 total.

### C

### G

- Abstract Algebra/Group tables
- Abstract Algebra/Group Theory/Cyclic groups
- Abstract Algebra/Group Theory/Cyclic groups/Definition of a Cyclic Group
- Abstract Algebra/Group Theory/Group
- Abstract Algebra/Group Theory/Group actions on sets
- Abstract Algebra/Group Theory/Group/a Cyclic Group of Order n is Isomorphic to Integer Moduluo n with Addition
- Abstract Algebra/Group Theory/Group/Cancellation
- Abstract Algebra/Group Theory/Group/Definition of a Group
- Abstract Algebra/Group Theory/Group/Definition of a Group/Definition of Associativity
- Abstract Algebra/Group Theory/Group/Definition of a Group/Definition of Closure
- Abstract Algebra/Group Theory/Group/Definition of a Group/Definition of Identity
- Abstract Algebra/Group Theory/Group/Definition of a Group/Definition of Inverse
- Abstract Algebra/Group Theory/Group/Double Inverse
- Abstract Algebra/Group Theory/Group/Ga = G
- Abstract Algebra/Group Theory/Group/Identity is Unique
- Abstract Algebra/Group Theory/Group/Inverse is Unique
- Abstract Algebra/Group Theory/Homomorphism
- Abstract Algebra/Group Theory/Homomorphism/A Homomorphism with Trivial Kernel is Injective
- Abstract Algebra/Group Theory/Homomorphism/Definition of Homomorphism, Kernel, and Image
- Abstract Algebra/Group Theory/Homomorphism/Homomorphism Maps Identity to Identity
- Abstract Algebra/Group Theory/Homomorphism/Homomorphism Maps Inverse to Inverse
- Abstract Algebra/Group Theory/Homomorphism/Image of a Homomorphism is a Subgroup
- Abstract Algebra/Group Theory/Homomorphism/Kernel of a Homomorphism is a Normal Subgroup
- Abstract Algebra/Group Theory/Homomorphism/Kernel of a Homomorphism is a Subgroup
- Abstract Algebra/Group Theory/How to Help
- Abstract Algebra/Group Theory/Meaning of Diagrams in This Section
- Abstract Algebra/Group Theory/Normal subgroups and Quotient groups
- Abstract Algebra/Group Theory/Permutation groups
- Abstract Algebra/Group Theory/Products and Free Groups
- Abstract Algebra/Group Theory/Reasons to Write or Read This
- Abstract Algebra/Group Theory/Subgroup
- Abstract Algebra/Group Theory/Subgroup/Coset/a Group is Partitioned by Cosets of Its Subgroup
- Abstract Algebra/Group Theory/Subgroup/Coset/a Subgroup and its Cosets have Equal Orders
- Abstract Algebra/Group Theory/Subgroup/Coset/Definition of a Coset
- Abstract Algebra/Group Theory/Subgroup/Cyclic Subgroup/Definition of a Cyclic Subgroup
- Abstract Algebra/Group Theory/Subgroup/Cyclic Subgroup/Euler's Totient Theorem
- Abstract Algebra/Group Theory/Subgroup/Cyclic Subgroup/Order of a Cyclic Subgroup
- Abstract Algebra/Group Theory/Subgroup/Definition of a Subgroup
- Abstract Algebra/Group Theory/Subgroup/Intersection of Subgroups is a Subgroup
- Abstract Algebra/Group Theory/Subgroup/Lagrange's Theorem
- Abstract Algebra/Group Theory/Subgroup/Normal Subgroup/Definition of a Normal Subgroup
- Abstract Algebra/Group Theory/Subgroup/Subgroup Inherits Identity
- Abstract Algebra/Group Theory/The Sylow Theorems
- Abstract Algebra/Groups and subgroups
- Abstract Algebra/Groups/Guideline for Editors