2015/12/09 by Ali Rejali, Rejali, Ali, Meisam Soleimani Malekan +1
Materials Science · #20F05 #20F16 #20F24 #43A07 #FOS: Mathematics #Group Theory (math.GR) #J.2 #Silicone and Siloxane Chemistry
paper · pdf · doi:10.48550/arxiv.1512.03021
openalex publication_date 2015/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 normality to study the group structures more efficiently. It has been interesting that for which groups, two-sided configuration equivalence would imply isomorphism. We introduce a class of groups, containing polycyclic and FC groups, which for them, the notions of two-sided configuration equivalence and isomorphism coincide.