### Character Theory of Finite Groups SS 2017

#### Schedule

Lecture: |
Tuesdays | 10:00-11:30 | Room 48-438 | Lecturer: |
Jun.-Prof. Dr. Caroline Lassueur |

Exercises: |
Fridays | 11:45 - 13:15 | Room 48-438 | Assistant: |
Dr. Inga Schwabrow |

Office hour: |
Mondays | 13:00-14:00 | Lernzentrum, | odd weeks, | starting 24.04.17 |

**Exam Dates:**

- 03.08.2017
- 23.08.2017
- 12.10.2017
- 13.10.2017
- 23.10.2017

Please, register with Frau Sternike (Room 48-511).

#### Exercises

The exercise classes begin in the 2nd week of the lecture period and then take place every second week. See [KIS] for the precise dates.

The 1st exercise sheet will be uploaded after the 1st lecture. From Sheet 2 on, the exercise sheets will be uploaded on the handing-in day of the previous one.

Exercise Sheet 1. Due date: 26.04.2017, 14:00

Exercise Sheet 2. Due date: 10.05.2017, 14:00

Exercise Sheet 3. Due Date: 24.05.2017, 14:00

Exercise Sheet 4. Due date: 07.06.2017, 14:00

Exercise Sheet 5. Due date: 21.06.2017, 14:00

Exercise Sheet 6. Due date: 05.07.2017, 14:00

Exercise Sheet 7. Due date: 19.07.2017, 14:00

Bei Fragen zu den Übungen stehen wir Ihnen gerne zur Verfügung.

The 1st exercise sheet will be uploaded after the 1st lecture. From Sheet 2 on, the exercise sheets will be uploaded on the handing-in day of the previous one.

Exercise Sheet 1. Due date: 26.04.2017, 14:00

Exercise Sheet 2. Due date: 10.05.2017, 14:00

Exercise Sheet 3. Due Date: 24.05.2017, 14:00

Exercise Sheet 4. Due date: 07.06.2017, 14:00

Exercise Sheet 5. Due date: 21.06.2017, 14:00

Exercise Sheet 6. Due date: 05.07.2017, 14:00

Exercise Sheet 7. Due date: 19.07.2017, 14:00

**Registration**: Please register for the exercises in the URM system by Friday, the 21st of April 2017, noon.Bei Fragen zu den Übungen stehen wir Ihnen gerne zur Verfügung.

#### Übungsscheine

You obtain an "Übungsschein" if the following criteria are fulfilled:

Each Exercise is worth 4 points.

Exercises can be handed in in groups of maximum two students.

- you have obtained minimum 50% of the points on the Exercise sheets altogether.
- you have obtained minimum 1 point in 2 Exercises (out of 4) in each of the exercise sheets 1 to 7.
- you have actively taken part to the exercise classes: attendance to the exercise classes + presenting at least one solution on the board.

Each Exercise is worth 4 points.

Exercises can be handed in in groups of maximum two students.

#### References

- [JL01] G. James and M. Liebeck,
*Representations and characters of groups.*See [zbMATH] - [Ser77] J.-P. Serre,
*Linear representations of finite groups*. See [zbMATH]

The original text is:

[Ser98] J.-P. Serre, Représentations linéaires des groupes finis. See [zbMATH] - [Isa06] M. Isaacs,
*Character theory of finite groups.*See [zbMATH] - [Web16] P. Webb,
*A course in finite group representation theory*. See [zbMATH] - [CCNPW85] J.H. Conway, R.T. Curtis, S.P. Norton, R. Parker, R.A. Wilson,
*Atlas of Finite Groups.*Clarendon Press, Oxford, 1985.

#### Oral Exam

In principle one should be able to explain the content of the lecture.

- Definitions, statements of the theorems/propositions/lemmata should be known;
- you should be able to explain short proofs as well as the red lines of the longer proofs;
- the Exercises mentionend in the lecture are important for the understanding of the theory;
- you should also be able to give concrete examples/counter-examples to illustrate the results;
- there will also be questions on concrete examples.
- Please, also be ready to write down formally the concepts and results you are explaining.