BYU

Abstract by Gradin Anderson

Personal Infomation


Presenter's Name

Gradin Anderson

Degree Level

Undergraduate

Co-Authors

Nathan Nicholson

Abstract Infomation


Department

Mathematics

Faculty Advisor

Stephen Humphries

Title

Counting Certain Conjugacy Classes in Symmetric Groups

Abstract

For H a subgroup of G we let S(G,H) be the set of H-conjugates of elements of G. For G equal to the symmetric group Sym(n) we determine the size of S(G,H) where H is (i) G); (ii) Sym(n-1); (iii) Sym(2) x Sym(n-2); (iv) Sym(3) x Sym(n-3). The answers involve the partition function and Young diagrams.