# Introduction Grouptheory

Course Code : | 1003WETIGR |

Study domain: | Physics |

Academic year: | 2017-2018 |

Semester: | 1st semester |

Sequentiality: | Credit for Mathematical methods for physics I & II. |

Contact hours: | 30 |

Credits: | 3 |

Study load (hours): | 84 |

Contract restrictions: | No contract restriction |

Language of instruction: | Dutch |

Exam period: | exam in the 1st semester |

Lecturer(s) | Lieven Le Bruyn |

### 1. Prerequisites *

an active knowledge of

- Dutch

- English

Basic knowledge mathematics

### 2. Learning outcomes *

- You will learn to work with symmetry groups, in particular with finite rotation groups.
- You can compute with permutations.
- You know the definitions of sub- and quotient-groups and know about divisibility conditions of orders of elements and subgroups.

### 3. Course contents *

The composition of two symmetries (of an object or a physical theory) is again a symmetry. This gives a multiplication law on the symmetries which we call a group structure. In this course you will learn to work with such group structures, in particular finite groups such as the group of all rotation-symmetries of a spatial figure and permutation groups. You learn divisibility properties for elements and subgroups, you understand quotient groups with respect to a normal subgroup as well as the important classification result of finite rotation groups in three dimensions.

### 4 International dimension*

The course has an international dimension.

### 5. Teaching method and planned learning activities

### 6. Assessment method and criteria

Continuous assessment

### 7. Study material *

#### 7.1 Required reading

Course notes - available via Blackboard

**7.2 Optional reading**

The following study material can be studied voluntarily :"Introduction to group theory" Ledermann, Walter and Weir, Alan J., Harlow (1996)

### 8. Contact information *

lieven.lebruyn@ua.ac.be