Tour:Introduction five (beginners)

From Groupprops
Jump to: navigation, search
This page is part of the Groupprops guided tour for beginners (Jump to beginning of tour)
PREVIOUS: Inquiry problems four (beginners)| NEXT: Symmetric group
PREVIOUS SECTION: Introduction four|NEXT SECTION: Introduction six
General instructions for the tour | Pedagogical notes for the tour

Hopefully, by the time you've reached this part of the tour, you have under your belt the basic definitions of group, subgroup, trivial group, and abelian group, and you are familiar with notions such as joins, intersections, and coset spaces.

In part four, you saw some of the easiest examples of groups: the cyclic groups. Cyclic groups are all abelian, and the structure and behavior of cyclic groups is very different from that of most other groups. In this part, we look at another very important class of groups: the symmetric groups. We will also encounter many general constructions involving groups.

The following pages comprise part five: