Instructor
Time and Location
M W F per. 5 (11.45 am. -12.35 pm.), Little 233
Office Hours:
MWF 1.55-2.45pm Little 432, and by appointment.
Description and Goals
This is a seminar course for intermediate/advanced graduate students. Students will be encouraged to study research papers or to develop software related to an algebraic problem of their choice, and to present the material to the class.
Software
Some students may find it of interest to work with algebra software such as GAP or sage.
| Schedule (may change if presentations/discussions extend beyond one class) | ||
|---|---|---|
| Wednesday, August 21st | Organization meeting | |
| Friday, August 23rd | Peter Sin | Some problems about SNF, n-cube, symmetric bilinear forms. |
| Monday, August 26th | Alexander Gruber | Prime graphs of finite groups. |
| Wednesday, August 28th | Alexander Gruber | Prime graphs (cont’d) |
| Friday, August 30th | Alexander Gruber | Prime graphs (cont’d) |
| Monday, September 2nd | Labor Day Holiday | |
| Wednesday, September 4th | Kathryn Lockwood | sage programs for computing with symmetric groups |
| Friday, September 6th | Kathryn Lockwood | sage programs for computing with symmetric groups |
| Monday, September 9th | Liz Wiggins | Tensor algebra, symmetric algebra, exterior algebra and GLn-action. |
| Wednesday, September 11th | Liz Wiggins | Tensor algebra, symmetric algebra, exterior algebra and GLn-action. |
| Monday, September 16th | Peter Sin | The elementary divisors of the graph of skew lines in finite projective space. |
| Wednesday, September 18th | Peter Sin | The elementary divisors of the graph of skew lines in finite projective space (cont’d) |
| Friday, Sptember 20th | Peter Sin | More on n-cubes |
| Monday September 23rd | Venkata Raghu Tej Pantangi | Characters of symmetric groups and the Robinson-Schensted Correspondence |
| Wednesday September 25th | Venkata Raghu Tej Pantangi | Characters of symmetric groups and the Robinson-Schensted Correspondence |
| Friday, September 27th | Venkata Raghu Tej Pantangi | The Robinson-Schensted-Knuth correspondence |
| Monday, September 30th | Peter Sin | The n-cube graph and Hamming scheme. |
| Wednesday, October 2nd | Peter sin | |
| Friday, October 4th | Peter Sin | |
| Monday, October 7th | Peter Sin | Carter subgroups of solvable groups |
| Wednesday, October 9th | Alexander Gruber | Minimal prime graphs of solvable groups |
| Friday, October 11th | Peter Sin | Discussion |
| Monday, October 14th | Alexander Gruber | Minimal prime graphs of solvable groups |
| Wednesday, October 16th | Peter Sin | Bilinear, quadratic and hermitian forms |
| Friday, October 18th | Alexander Gruber | Minimal prime graphs of solvable groups |
| Monday, October 21st | Peter Sin | |
| Wednesday, October 23rd | Chris Cyr | The Chermak-Delgado lattice of a finite group |
| Friday, October 25th | Chris Cyr | The Chermak-Delgado lattice of wreath products |
| Monday, October 28th | Chris Cyr | The Chermak-Delgado lattice of wreath products |
| Wednesday, October 30th | Hossein Shahrtash | The Influence of Conjugacy Class Sizes on the Structure of Finite Groups |
| Friday, November 1st | Hossein Shahrtash | The Influence of Conjugacy Class Sizes on the Structure of Finite Groups |
| Monday, November 4th | Peter Sin | Studying examples in finite simple groups using GAP, the Atlas, and theory. |
| Wednesday, November 6th | Peter Sin | Paley graphs |
| Wednesday, November 13th | Junie Joseph | Wilson’s paper “A diagonal form for Incidence Matrices of t-subsets vs. k-subsets” |
| Friday, November 15th | Junie Joseph | Wilson’s paper “A diagonal form for Incidence Matrices of t-subsets vs. k-subsets” |
| Monday, November 18th | Lindsey-Kay Lauderdale | On the number of maximal subgroups of a finite group |
| Wednesday, November 20th | Lindsey-Kay Lauderdale | On the number of maximal subgroups of a finite group |
| Friday, November 22nd | Hariye Gulbadak | The effects of symmetry on the dynamics of antigenic variation (paper of K. Blyuss) |
| Monday, November 25th | Hariye Gulbadak | The effects of symmetry on the dynamics of antigenic variation (contd.) |
| Monday, December 2nd | Peter Sin | Paley graphs |
| Wednesday, December 4th | Peter Sin | Problem session |
Grading Scale
Grades: A=90-100, B+=85-89, B=80-84, B-=75-79, C+=70-74, C=65-69,C-=60-64, D=50-59, E=0-49
The UF regulations on grades is here: https://catalog.ufl.edu/ugrad/current/regulations/info/grades.aspx
Attendance and Late Policy
The UF policy on attendance is here: https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx
Special accommodations
Students requesting classroom accommodation must first register with the Dean of Student Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the instructor when requesting accommodation.
Honor Code
UF students are bound by The Honor Pledge which states, “We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honor and integrity by abiding by the Honor Code.
On all work submitted for credit by students at the University of Florida, the following pledge is either
required or implied: “On my honor, I have neither given nor received unauthorized aid in doing this
assignment.”
The Honor Code (http://www.dso.ufl.edu/sccr/process/student-conduct-honor-code/)
specifies a number of behaviors that are in violation of this code and the possible sanctions.
Furthermore, you are obliged to report any condition that facilitates academic misconduct to appropriate
personnel. If you have any questions or concerns, please consult with the instructor of this class.
Course Evaluations
Students are expected to provide feedback on the quality of instruction in this course based on 10 criteria. These evaluations are conducted online at https://evaluations.ufl.edu. Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at https://evaluations.ufl.edu/results/.