Title

Notes on the Paper “Cayley: On the theory of groups as depending on the symbolic equation θn = 1”

Date

5-29-2014 11:30 AM

End Time

29-5-2014 1:30 PM

Location

Werner University Center (WUC) Pacific Room

Department

Mathematics

Session Chair

Michael Ward

Session Title

History of Mathematics Posters

Faculty Sponsor(s)

Michael Ward

Presentation Type

Poster session

Abstract

On the theory of groups as depending on the symbolic equation θn = 1, is one of Arthur Cayley's famous papers on abstract algebra. It might even be the most famous paper in the history of group theory. This paper includes the better part of his groundbreaking essay annotated with notes designed for an undergraduate math student. The main theory behind this paper is the transition into a symbolic and abstract representation of groups. Specifically, Cayley proves that there are only 2 groups of order 4 and of order 6, order meaning the number of elements in the group.

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May 29th, 11:30 AM May 29th, 1:30 PM

Notes on the Paper “Cayley: On the theory of groups as depending on the symbolic equation θn = 1”

Werner University Center (WUC) Pacific Room

On the theory of groups as depending on the symbolic equation θn = 1, is one of Arthur Cayley's famous papers on abstract algebra. It might even be the most famous paper in the history of group theory. This paper includes the better part of his groundbreaking essay annotated with notes designed for an undergraduate math student. The main theory behind this paper is the transition into a symbolic and abstract representation of groups. Specifically, Cayley proves that there are only 2 groups of order 4 and of order 6, order meaning the number of elements in the group.