symmetric group
group of bijective automorphisms of a set, also called bijective group: the group of bijections on a set (the group of all its permutations), whose group operation is function composition
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symmetric group
Summary
symmetric group is a set[1]. It draws 846 Wikipedia views per month (set category, ranking #5 of 16).[2]
Key Facts
- symmetric group's instance of is recorded as set[3].
- symmetric group is a type of automorphism group[4].
- symmetric group is a type of generalized symmetric group[5].
- symmetric group's different from is recorded as symmetry group[6].
- symmetric group's different from is recorded as permutation group[7].
- symmetric group's has part is recorded as permutation[8].
- symmetric group's maintained by WikiProject is recorded as WikiProject Mathematics[9].
- symmetric group's has operation is recorded as function composition[10].
Body
Definition and Type
symmetric group's instance of is recorded as set[3]. Recorded subclass of include automorphism group[4] and generalized it[5].
Why It Matters
symmetric group draws 846 Wikipedia views per month (set category, ranking #5 of 16).[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[11] It is known by 18 alternative names across languages and contexts.[12]