Symmetric operations in groups
Symmetric words in nilpotent groups of class ≤ 3
System of equations in commuting variables for free products of Abelian groups.
Systems of equations over locally p-indicable groups.
Systolic invariants of groups and -complexes via Grushko decomposition
We prove a finiteness result for the systolic area of groups. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of -complexes whose systolic area is uniformly bounded. We also show that the number of freely indecomposable such groups grows at least exponentially with the bound on the systolic area. Furthermore, we prove a uniform systolic inequality for all -complexes with unfree fundamental group that improves the previously known bounds in this dimension....
S-полные группы, SR- группы, SD- группы