1 citations · 4 across the 6 of their papers we have counts for
8 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…
Two-sided configuration equivalence and isomorphism
Ali Rejali, Meisam Soleimani Malekan
The concept of configuration was first introduced to give a characterization for the amenability of groups. Then the concept of two-sided configuration was suggested to provide nor…
Solubility of groups can be characterized by configuration
Ali Rejali, Meisam Soleimani Malekan
The concept of configuration was first introduced by Rosenblatt and Willis to give a characterization for the amenability of groups. We show that group properties of being soluble…