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Results tagged with permutations
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user 2757
Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
6
votes
Accepted
Explicit expression of an alternating polynomial in characteristic $2$?
(Here is a more detailed version of Felipe's answer.)
In 1976 Elwyn Berlekamp defined characteristic 2 analogues of the discriminant and its square root, related to the expressions you wrote down. L …
- 23.8k
106
votes
Accepted
Conceptual reason why the sign of a permutation is well-defined?
(This is a variant of Cartier's argument mentioned by Dan Ramras.)
Let $X$ be a finite set of size at least $2$. Let $E$ be the set of edges of the complete graph on $X$. The set $D$ of ways of dire …
- 23.8k