Math 314 (2020)

The symmetric group

textbook cover
Young tableaux
textbook cover
permutation
Description
The symmetric group consists of all permutations of a finite set or equivalently all the bijections from the set to itself. This course explores how to map the symmetric group into a collection of invertible matrices. To handle, count, and manipulate these objects, appropriate combinatorial tools are introduced. Group theory (i.e. MATH 310) will not be assumed or required.
Prerequisites
MATH 210 or MATH 211.
Instructor
G.G. Smith (512 Jeffery Hall, ggsmith@mast.queensu.ca)
Lectures (slot 003)
Mondays at 10:30–11:20 in 422 Jeffery Hall
Wednesday at 09:30–10:20 in 422 Jeffery Hall
Friday at 08:30–09:20 in 422 Jeffery Hall
Office Hours
Thursday at 15:30–17:00 in 201 Jeffery Hall
Examination
Oral exam via video chat software scheduled individually.
Monday, 20 April 2020 at 14:00–17:00 in Ross Gym
References
[S] Bruce E. Sagan, The symmetric group, Graduate Texts in Mathematics 203, Springer-Verlag, New York, 2001, ISBN: 0-387-95067-2