This course may be of interest to undergraduate math students.
> I will be teaching a special graduate math class this summer. It will
> be first term; the time is yet to be decided (it can't be from 9:45 -
> 11:15). It will be listed as 559 (Algebra seminar) and you should sign
> up for 3 hours of credit. Below is a course description.
>
> Abelian Group Theory
>
> Abelian (commutative) groups play a fundamental role in many areas of
> mathematics and are a very helpful motivation for module theory over more
> general rings. This will be a leisurely paced, self-contained course on
> the theory of abelian groups; the only prerequisite is an undergraduate
> algebra course. Some of the topics to be covered include: finite abelian
> groups, cyclic groups, free abelian groups, divisible abelian groups,
> torsion and torsion-free abelian groups, Ulm's Theorem and other structure
> theorems, and tensor products and homomorphism groups of abelian groups.
> We will also discuss how and if/when these results generalize to more
> general rings. This course should be particularly useful to anyone with an
> interest in algebra or topology, and several of the topics covered will be
> a very good review for the algebra prelim. There will be no exams; your
> grade will be based on turning in a few homework problems of your choice
> from a long list of problems of various degrees of difficulty.
>
> If you have any questions, please drop by or email me. If you plan to
> take the course, please tell me and give time choices for the course.
>
> David Anderson
>
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