Academic Year:
 2012/3 
Owning Department/School:
 Department of Mathematical Sciences 
Credits:
 6 
Level:
 Honours (FHEQ level 6) 
Period: 
Semester 1

Assessment:
 EX 100% 
Supplementary Assessment:  Mandatory extra work (where allowed by programme regulations) 
Requisites:
 Before taking this unit you must take MA20217 
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.

Programme availability:

MA30237 is Optional on the following programmes:
Department of Computer Science
 USCMAFM14 : MComp (hons) Computer Science and Mathematics (Fulltime)  Year 3
 USCMAKM14 : MComp (hons) Computer Science and Mathematics with Industrial Placement (Fulltime with Thick Sandwich Placement)  Year 4
 USCMAAM14 : MComp (hons) Computer Science and Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
Department of Mathematical Sciences
 USMAAFB15 : BSc (hons) Mathematical Sciences (Fulltime)  Year 3
 USMAAKB16 : BSc (hons) Mathematical Sciences (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFB13 : BSc (hons) Mathematics (Fulltime)  Year 3
 USMAAKB14 : BSc (hons) Mathematics (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAFB01 : BSc (hons) Mathematics and Statistics (Fulltime)  Year 3
 USMAAKB02 : BSc (hons) Mathematics and Statistics (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAAB14 : BSc (hons) Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFB05 : BSc (hons) Statistics (Fulltime)  Year 3
 USMAAKB06 : BSc (hons) Statistics (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB06 : BSc (hons) Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 3
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 4
 USMAAAM15 : MMath Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
Department of Physics
 USXXAFM01 : MSci (hons) Mathematics and Physics (Fulltime)  Year 4
