Course Information

Books & Resources

Material will be selected from various texts such as Finite Group Theory, by I. Martin Isaacs and A Course in the Theory of Groups by Derek Robinson.

Tentative List of Topics

This is a rough list of what we will cover, but please be aware that it is subject to change.

• Advanced permutation group theory (beyond Math210A/B)
  • Possible topics: primitivity, multiple transitivity, Iwasawa’s lemma
• Simplicity of $\operatorname{Alt}(n)$ and $\operatorname{PSL}(n,F)$
• Advanced Sylow Theory (beyond Math210A/B)
• 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