Math 4803Intro. Geometric Group TheorySpring 2021 

Week  Dates  Topics  Text Sections  Homework  Notes  Comments 
1  Jan 14  Intro  Jan 14  First day of class  
2  Jan 19/21  Groups  OHGGT 1  A.1, A.2*, A.3*  Jan 19 Jan 21 
Deadline for schedule changes 
3  Jan 26/28  Cayley's theorems  1.11.5  Chap 1: 6, 7, 12, 20, 22  Jan 26 Jan 28 

4  Feb 2/4  Cayley graphs  1.61.8  Chap 1: 14, 15, 18, 21, A.4*  Feb 2 Feb 4 
Topic/group due 
5  Feb 9/11  Coxeter groups  2  A.5, Chap 2: 3(ac), 3(df)*, 6, 9  Feb 9 Feb 11 

6  Feb 16/18  Free groups  3.13.3  Chap 3: 8, 9, 10, 11  Feb 16 Feb 18 

7  Feb 23/25  Free products  3.43.6  Chap 3: 20(a), 24, A.6  Feb 23 Feb 25 
Abstract due 
8  Mar 2/4  BaumslagSolitar groups  4  Midterm  Mar 2 Mar 4 
Takehome midterm 
9  Mar 9/11  The word problem  5  none  Mar 9 Mar 11 

10  Mar 18  Burnside's problem  6  Chap 5: 9, Chap 6: 4, 5  Mar 11  Spring break Grade mode / withdraw deadline 
11  Mar 23/25  Automata  7  Chap 7: 1  Mar 23 Mar 25 
Spring break 
12  Mar 30/32  Lamplighter & Thompson's groups  8, 10  A.7 or Chap 10: 4  Mar 30 Apr 1 
Outline due 
13  Apr 6/8  Large scale properties  10  Chap 11: 13  Apr 6 Apr 8 
Draft due 
14  Apr 13/15  Quasiisometries  11  A.8  Apr 13  
15  Apr 20/22  Presentations  none  
16  Apr 27  Farewell  Apr 27  Last day of class Project due 

16  GGT notes 
Group theory videos: Actions Orbitstabilizer theorem Group basics Normal subgroups Cayley's theorem