Groups and Symmetry

1 Linear Transformations and Linear Groups.- 2 Group Actions on Sets.- 3 Sylow's Theorems and Applications.- 4 Simple Groups.- 5 Product of Groups.- 6 Normal Series.- 7 Free Groups and Presentations.- 8 Symmetry Groups of Geometric Objects.- 9 Platonic Solids.- 10 Frieze and Wallpaper Symmetry Groups.- 11 Representations and Characters of Groups.

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• Cálculo e análise matemática
• Grupos e teoria do grupo
• Álgebra

linear transformations;linear groups;group actions on sets;Sylow's theorem;simple groups;product of groups;normal series;free groups;symmetry groups;platonic solids;Frieze and wallpaper symmetry groups;characters of groups