Sylow subgroups and generalizations

Témavezető: Ágoston István
ELTE TTK, Algebra és Számelmélet Tanszék
email: istvan.agoston@ttk.elte.hu

Projekt leírás

Sylow's theorems are among the first theorems one learns in group theory. Their role is essential in the investigation of the structure of finite groups. Related to Sylow's theorems there are:

  1. many interesting proofs of different character;
  2. various genaralizations of the notion;
  3. many interesting questions concerning the set of Sylow subgroups of certain groups.

In my work I intend to learn more about these topics.

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