Symmetric group:S10
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Definition
This is defined as the symmetric group on a set of size , which for concreteness we can take as the set . In other words, it is the group of all permutations on nine elements under composition.
In particular, it is a symmetric group on a finite set.
Arithmetic functions
Function | Value | Similar groups | Explanation |
---|---|---|---|
order (number of elements, equivalently, cardinality or size of underlying set) | 3628800 | groups with same order |