Estb. 1882

University of the Punjab

MATH-421 Group Theory-III

Solvable Groups  Solvable groups, definition and examples
 Theorems on solvable groups
 Super-solvable groups
Nilpotent Groups
 Characterisation of finite nilpotent groups
 Upper and lower central series
 Frattini subgroups, free groups, basic theorems
 Definition and examples of free products of groups
Linear Groups
 Linear groups, types of linear groups
 Representation of linear groups
 Group algebras and representation modules
Credit hours/ Marks:- 3

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