Meeting times
- Fridays from 10:30-11:50 AM (BRH 204)
Book(s)
Office hours
- TBD
- Also by appointment. (Just send me an email.)
Books & Resources
Material will be selected from various texts. Likely sources include the following:
- Finite Group Theory, by I. Martin Isaacs [Book]
- A Course in the Theory of Groups by Derek Robinson [Book]
- Notes on Classical Groups, by Peter J. Cameron [Online notes]
Tentative List of Topics
A tentative list of what we will cover is below, but be aware that it is subject to change.
- Advanced permutation group theory
- Possible topics: primitivity, multiple transitivity, Iwasawa’s lemma
- Simplicity of $\operatorname{Alt}(n)$ and $\operatorname{PSL}(n,F)$
- Advanced Sylow Theory
- Transfer Theory and Burnside’s Normal $p$-complement Theorem
- Application: classifying the simple groups of order at most 200
- Additional topics (time permitting)
- Possible topics: characterizations of finite nilpotent groups, group extensions and group cohomology
Activity Log
| Day |
Topics Covered |
For Next Time |
| Mon/W01 |
Syllabus and Planning |
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