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math.GR2021
Commuting Probability of Compact Groups
Alireza Abdollahi, Meisam soleimani Malekan
For any (Hausdorff) compact group with the normalized Haar measure , denote by the probability ${\mathbf m}_{G\times G}(\{(x,y)\in G\times G \;|\;…
math.GR2021★ 1 cited
Compact groups with a set of positive Haar measure satisfying a nilpotent law
Alireza Abdollahi, Meisam soleimani Malekan
The following question is proposed in [4, Question 1.20]: Let be a compact group, and suppose that $$\mathcal{N}_k(G) = \{(x1,\dots,x_{k+1}) \in G^{k+1} \;\|; [x_1,\dots, x_{k+…