Undergraduate Friday Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 2233 Everitt
- Date
- Sep 29, 2023 4:00 pm
- Speaker
- Anakin Dey
- Contact
- Adam Wawrowski
- adamw4@illinois.edu
- Phone
- 219-765-8749
- Views
- 31
Classifying Primitive Groups using Computer Algebra and Change-Making
Abstract: Consider a primitive, solvable permutation group G acting on a set of elements X. Let G0 be the stabilizer of some element of X. Then the rank of G is the number of orbits of G0 acting on X. At an REU in Texas State University this past summer, I and three other students classified the groups of rank 5 and 6 and have described a potential way to classify groups of rank up to 200. In this presentation, I will introduce the basic group theory behind this problem, a surprising connection to change-making, the complexity of central problems in group theory, and the use of computer algebra systems.