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## Abstract Algebra | ||
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### Textbook | ||
["A First Course In Abstract Algebra", John B. Fraleigh, 7th edition]() | ||
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### Table of Contents | ||
* Sets and Relations | ||
* Intro to Groups and Examples | ||
* Binary operations | ||
* Isomorphic binary structures | ||
* Groups | ||
* Subgroups | ||
* Cyclic groups | ||
* Permutations, coests, and Direct Products | ||
* Orbits, Cycles, the Alternating Group | ||
* Cosets | ||
* Theorem of Lagrange | ||
* Direct Product and Finitely Generated Abelian Groups | ||
* Theorems of Direct Products | ||
* Homomorphisms and Factor Groups | ||
* The Kernel | ||
* Cosets of the Kernel | ||
* Kernel Isomorphisms | ||
* Factor Groups | ||
* Automorphisms, Factor Group Computations and Simple Groups | ||
* Simple Group | ||
* Rings and Fields | ||
* Ring Homomorphisms |
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