MA30237: Group theory
[Page last updated: 15 October 2020]
Academic Year:  2020/1 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Honours (FHEQ level 6) 
Period: 

Assessment Summary:  EX 100% 
Assessment Detail: 

Supplementary Assessment: 

Requisites:  Before taking this module 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

Notes:
