 Academic Year: | 2017/8 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Honours (FHEQ level 6) |
| Period: |
- Semester 1
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| Assessment Summary: | EX 100% |
| Assessment Detail: | |
| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must take MA20217
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| Description:
| Aims:
To provide the students with a solid introduction to group theory and a broad range of examples of finite and infinite groups.
Learning Outcomes:
After taking this unit, the students should be able to demonstrate knowledge and understanding of the basic theory of groups covered in the course. They should be able to work with the various constructions and tools developed like quotient groups, groups actions and Sylow Theory.
Skills:
Numeracy T/F A
Problem Solving T/F A
Written and Spoken Communication F (in tutorials).
Content:
Normal subgroups, congruences and quotient groups. Homomorphisms, isomorphisms and the Isomorphisms Theorems. Simple groups. Permutation groups and the simplicity of the alternating groups. Group actions and the Orbit Stabilizer Theorem. Conjugacy classes (including in Sn). Sylow Theory. The structure of abelian groups. Solvable groups.
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| Programme availability: |
MA30237 is Optional on the following programmes:
Department of Computer Science
- USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 3)
- USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
- USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
- USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 3)
- USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
- USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
Department of Economics
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 3)
Department of Mathematical Sciences
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
- USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
- USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
- USMA-AFB05 : BSc(Hons) Statistics (Year 3)
- USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
- USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
Department of Physics
- USXX-AFM01 : MSci(Hons) Mathematics and Physics (Year 4)
- USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 5)
- USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 5)
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