Week 06: Lower central series, Characterization of finite nilpotent groups
Clement A. E., Majewicz S. , Zyman M. (2017), Introduction to nilpotent groups. In: The Theory of Nilpotent Groups, Brikauser, Cham (see attachment in Week 05)
Page No. 23-73
Course Material
- Week 01: Series in groups, normal series, normal series and its refinement
- Week 02: Composition series, equivalent composition series and Jordan Holder Theorem
- Week 03: Introduction to solvable groups, definition, examples
- Week 04: Theorems on Solvable groups and equivalent conditions of solvability
- Week 05: Upper central series, Nilpotent groups: definition, examples, results
- Week 06: Lower central series, Characterization of finite nilpotent groups
- Week 07: Maximal Subgroups, The Frattini subgroups, definition, examples, results
- Week 08: Non-generator elements of Group, Frattini subgroup as set of Non-generator elements
- Week 09: Mid Term Exams
- Week 10: Introduction to free groups, definition, examples and basic results
- Week 11: Free product of groups, definition, basic theorems
- Week 12: Introduction to Linear Groups, Types of Linear Groups
- Week 13: Representation of linear groups, definition, related results
- Week 14: Properties and Theorems on Representation of linear groups
- Week 15: Introduction to group algebra, definition, related results
- Week 16: Introduction to representation modules
- Week 17: Theorems on Representation modules
- Week 18: Final Term Exams
- Chapters 18
- Department Mathematics
- Teacher
Dr. Iram Iqbal
