Visual Group Theory, Lecture 2.4: Cayley's theorem

Описание к видео Visual Group Theory, Lecture 2.4: Cayley's theorem

Visual Group Theory, Lecture 2.4: Cayley's theorem

Cayley's theorem says that every finite group has the same structure as some collection of permutations. Formally, this means that every finite group is isomorphic to a subgroup of some symmetric group. In this lecture, we see two ways to explicitly construct a group of permutations from some abstract finite group. The first way involves the Cayley diagram, and the second involve the multiplication table.

Course webpage (with lecture notes, HW, etc.): http://www.math.clemson.edu/~macaule/...

Комментарии

Информация по комментариям в разработке

Похожие видео