Difference between revisions of "Algebra Qualifying Exam"

From UW-Math Wiki
Jump to navigation Jump to search
Line 5: Line 5:
  
 
* Group Theory
 
* Group Theory
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/BasicGroups.pdf Basic Group Theory I]
+
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/BasicGroups.pdf Group Theory I]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/MoreGroups.pdf Basic Group Theory II]
+
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/MoreGroups.pdf Group Theory II]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/SolNil.pdf Solvable & Nilpotent Groups]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/SolNil.pdf Solvable & Nilpotent Groups]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/ThmsGroups.pdf Theorems for non-simplicity]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/ThmsGroups.pdf Theorems for non-simplicity]
Line 14: Line 14:
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/commute/CommutativeAlg.pdf Commutative Rings]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/commute/CommutativeAlg.pdf Commutative Rings]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/ring/Modules.pdf Modules]
 
** [http://www.math.wisc.edu/~dynerman/content/mantilla/ring/Modules.pdf Modules]
 +
 +
* Field Theory
 +
** [http://www.math.wisc.edu/~dynerman/content/mantilla/galois/BasicFields.pdf Field Theory I]
 +
** [http://www.math.wisc.edu/~dynerman/content/mantilla/galois/Fields2.pdf Field Theory II]

Revision as of 02:13, 18 September 2010

Here is some assorted material related to the Algebra Qualifying Exam. This page has been created by graduate students, so, as always, you should consult the official graduate program page for official information.

Guillermo Mantilla's SEP Notes

In the summers of 2007?, 2008, 2009, 2010 Guillermo Mantilla ran a well-regarded summer enchancement program in algebra preparing for the qualifying examination. Guillermo wrote up a set of notes covering the material that appears on the qualifying exam.