Almost commuting permutations are near commuting permutations

作者：Arzhantseva Goulnara^*; Paunescu Liviu

来源：Journal of Functional Analysis, 2015, 269(3): 745-757.

DOI：10.1016/j.jfa.2015.02.013

• Residually finite groups
• Sofic groups
• Almost commuting matrices
• Ultraproducts

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.

• 出版日期2015-8-1