Groups and Subgroups: Unit GTA2 - Softcover

Open University Course Team

 
9780749202163: Groups and Subgroups: Unit GTA2

Synopsis

This unit builds on Unit GTA1 and introduces more of the basic ideas of group theory. A subgroup of a group is defined. In particular, subgroups of symmetry groups are identified by modifying geometric figures. Cyclic groups, isomorphic groups and groups and subgroups based on modular arithmetic are also investigated.

One subsection is intended to be studied in conjunction with an audio, available in the Group Theory A Block Pack (order code M208/MMPGTA). The video programme, Isomorphism, associated with this unit is available on DVD00094 (order code M208/DVD01).

"synopsis" may belong to another edition of this title.

Synopsis

In this unit the geometric concept of symmetry is used to introduce some of the basic ideas of group theory, including group tables, and the four properties, or axioms, that define a group. One subsection is intended to be studied in conjunction with an audio, available in the "Group Theory A Block Pack" (order code M208/MMPGTA). The video programme, Symmetry counts, associated with this unit is available on DVD00094 (order code M208/DVD01).

"About this title" may belong to another edition of this title.