Estb. 1882

University of the Punjab

MATH-406 Group Theory-II

Automorphisms and Products in Groups  Characteristic and fully invariant subgroups
 Normal products of groups
 Holomorph of a group
Permutation Groups
 Symmetric or permutation group
 Permutability of permutations
 Transposions
 Generators of the symmetric and alternating group
 Cyclic permutations and orbits, the alternating group
 Generators of the symmetric and alternating groups
 Simplicity of A, n 5
 The stabiliser subgroups
Series in Groups
 Series in groups
 Zassenhaus lemma
 Normal series and their refinements
 Composition series
Credit hours/ Marks:- 3

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