Exploring Abstract Algebra: Helpful Links and Practice Problems

[NukeEng101]

I was wondering if anyone knew any links on the Internet that help to explain abstract algebra and maybe works through some problems as well. Thank you in advance

 

[popocatepetl]

I was wondering if anyone knew any links on the Internet that help to explain abstract algebra and maybe works through some problems as well. Thank you in advance

Here are a couple of links that have helped me a lot. Some of them may be notes while some others are proofs and yet still others are applets to know the subgroups of a group and such. Check them out
http://www.cs.dartmouth.edu/~afra/goodies/abstract.pdf

1.Websites using java applets that give the table, the subgroups, the cosets and such of subgroups up to order 15
http://hobbes.la.asu.edu/groups/groups.html
http://math.ucsd.edu/~jwavrik/Groups15/Groups15.html

2. This is probably the most useful website because it is a study guide with examples, exercises, proofs, definitions and more
http://www.math.niu.edu/~beachy/aaol/contents.html#index
http://marauder.millersville.edu/~bikenaga/abstractalgebra/abstractalgebranotes.html

Dihedral group http://www.math.wisc.edu/~ram/math541F03/dhdl.pdf

Groups and Symmetry http://www.maths.gla.ac.uk/~ajb/dvi-ps/2q-notes.pdf

Intro to group theory http://www.math.drexel.edu/~rboyer/courses/math533_03/new_lec.pdf

Java Applet to examine finite groups of order 1 to 15 (group tables, subgroups, cosets. http://math.ucsd.edu/~jwavrik/Groups15/Groups15.html#Instructions

Group Theory notes for physics and chemistry students (applications?) http://www.win.tue.nl/~amc/ow/gpth/reader.pdf

Group Theory notes http://math.la.asu.edu/~quigg/teach/courses/444/2001s/lectures/groups.pdf http://www.maths.tcd.ie/~dwilkins/Courses/311/311S1_0708.pdf

Dihedral groups and inner automorphisms http://www.ms.uky.edu/~ochanine/107/dihedral.pdf

Abstract algebra webpage http://people.brandeis.edu/~igusa/Math30F06/Math30aF2006.htm

 

[NukeEng101]

Thank you so much! These sites will be very helpful.