# Difference between revisions of "Algebra Qualifying Exam"

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= Guillermo Mantilla's SEP Notes = | = 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. | + | 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. Links appear in the order presented in class, not the order of the respective problems on the exam. |

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+ | * Linear Algebra | ||

+ | ** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/Linear.pdf Linear Algebra I] | ||

+ | ** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/inner.pdf Linear Algebra II (inner products)] | ||

+ | ** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/Jform.pdf Linear Algebra III (Jordan Form)] | ||

* Group Theory | * Group Theory | ||

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** [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] | ||

*** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/less1000.pdf Non-simplicity proofs for groups of order < 1000] | *** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/less1000.pdf Non-simplicity proofs for groups of order < 1000] | ||

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* Field Theory | * Field Theory |

## Revision as of 01:17, 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. Links appear in the order presented in class, not the order of the respective problems on the exam.

- Group Theory

- Field Theory

- Ring Theory