1 citations · 2 across the 4 of their papers we have counts for
6 papers
Nilpotent probability of compact groups
Alireza Abdollahi, Meisam Soleimani Malekan
Let be any positive integer and a compact (Hausdorff) group. Let $\mf{np}_k(G)$ denote the probability that randomly chosen elements satisfy $[x_1…
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 \;|\;…
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+…
Profinite groups with many elements of bounded order
Alireza Abdollahi, Meisam Soleimani Malekan
Lévai and Pyber proposed the following as a conjecture: Let be a profinite group such that the set of solutions of the equation has positive Haar measure. Then has…
A necessary condition for zero divisors in complex group algebra of torsion-free groups
Alireza Abdollahi, Meisam Soleimani Malekan
We find a necessary condition for zero divisors in complex group algebras of torsion-free groups.
Configuration Equivalence is not Equivalent to Isomorphism
Ali Rejali, Meisam Soleimani Malekan
Giving a condition for the the amenability of groups, Rosenblatt and Willis, first introduced the concept of configuration. From the beginning of the theory, the question whether t…