An Identity of Derangements

Authors

Le Anh Vinh, University of New South WalesFollow

Abstract

In this paper, we present a new identity for derangements, and as a corollary, we have a combinatorial proof of the irreducibility of the standard representation of symmetric groups

Author Bio

I am an honour student at University of New SouthWales, Australia. This paper was written while I was taking a course in grouprepresentaion. While I was proving the irreducibility of thestandard representation of the symmetric groups, I discoverd a new and interesting identity for derangements and Bellnumbers. After graduation thisyear, I plan to pursue a PhD in Pure Mathematics.

Faculty Sponsor

Catherine Greenhill

Recommended Citation

Vinh, Le Anh (2005) "An Identity of Derangements," Rose-Hulman Undergraduate Mathematics Journal: Vol. 6: Iss. 2, Article 11.
Available at: https://scholar.rose-hulman.edu/rhumj/vol6/iss2/11