query: Abstract algebra permutation and order
positive_passages.docid: 148774
positive_passages.text: show elements of order 15 in $S_8$ satisfy a relation
negative_passages.docid: 83710
negative_passages.text: Order of a homomorphism of groups
negative_passages.docid: 4103
negative_passages.text: Total ordering on complex numbers
negative_passages.docid: 76521
negative_passages.text: Every partial order can be extended to a linear ordering
negative_passages.docid: 83837
negative_passages.text: Odd/Even Permutations
negative_passages.docid: 30003
negative_passages.text: Proving that Order for N is Anti-symmetric
negative_passages.docid: 115100
negative_passages.text: Operator Ordering Ambiguities
negative_passages.docid: 123419
negative_passages.text: Abstract algebra: homomorphism and an element of a prime order
negative_passages.docid: 126025
negative_passages.text: Computing the inverse of a permutation
negative_passages.docid: 133436
negative_passages.text: Inclusion-Exclusion: INTELLIGENT permutations
negative_passages.docid: 3217
negative_passages.text: Construction of uncountably many non-isomorphic linear (total) orderings of natural numbers
negative_passages.docid: 96585
negative_passages.text: Sums and permutation
negative_passages.docid: 97314
negative_passages.text: Counting nearly-sorted permutations
negative_passages.docid: 69827
negative_passages.text: Set conditions at a permutation
negative_passages.docid: 115649
negative_passages.text: Proving two sets $A, B$ are order isomorphic
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 115209
negative_passages.text: Elementary formula for permutations?