parity of a permutation
group homomorphism from the symmetric group over a finite set to the two-element group {±1}
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parity of a permutation
Summary
parity of a permutation is a property[1]. It draws 391 Wikipedia views per month (property category, ranking #39 of 127).[2]
Key Facts
- parity of a permutation's instance of is recorded as property[3].
- parity of a permutation's instance of is recorded as group homomorphism[4].
- parity of a permutation's instance of is recorded as integer-valued function[5].
- parity of a permutation's facet of is recorded as even permutation[6].
- parity of a permutation's facet of is recorded as odd permutation[7].
- parity of a permutation's different from is recorded as signature[8].
- parity of a permutation's characteristic of is recorded as permutation[9].
Body
Definition and Type
Recorded instance of include property[3], group homomorphism[4], and integer-valued function[5].
Why It Matters
parity of a permutation draws 391 Wikipedia views per month (property category, ranking #39 of 127).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[10] It is known by 21 alternative names across languages and contexts.[11]