Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589802 | Journal of Functional Analysis | 2015 | 13 Pages |
Abstract
We prove that the commutator is stable in permutations endowed with the Hamming distance, that is, two permutations that almost commute are near two commuting permutations. Our result extends to k-tuples of almost commuting permutations, for any given k, and allows restrictions, for instance, to even permutations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Goulnara Arzhantseva, Liviu Păunescu,