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group (416B)

      1 # Group
      2 
      3 A *group* is an [algebraic_structure] which is like a [monoid] but additionally requires that each [element] has an [inverse]
      4 
      5 Types of groups:
      6 
      7 - [coxeter_groups]
      8 - [solvable_group]
      9 - [group_abelian]
     10 
     11 [Theorems]:
     12 
     13 - classification of [finite_simple_groups]
     14 - [feit_thompson] theorem
     15 
     16 Tools:
     17 
     18 - [cayley_graph]
     19 - [cayley_table]
     20 
     21 Up: [algebraic_structure], [mathematics]
     22 
     23 See also: [monoid], [group_language]