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PMATH 347

Groups and Rings

Taught by William Slofstra, who is first time teaching this course, and material mostly follows from Ross Willard’s delivery. This course is pretty well-structured. However, it is also dense. Since this is pandemic version, we don’t need to memorize all things off the top of the head, which is good.

Side note: The notes above is recompiled from the old notes.

These notes cover abstract algebra. Part I covers group theory: binary operations, subgroups, cyclic groups, homomorphisms, cosets, Lagrange’s theorem, normal subgroups, quotient groups, isomorphism theorems, group actions, and Sylow theorems. Part II covers ring theory: rings, ideals, quotient rings, polynomial rings, and factorization in integral domains.

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