Symmetric generating set of the groups and using and an element of order two.
Symmetric groups and expanders.
Symmetric words in nilpotent groups of class ≤ 3
Symmetries of planar growth functions.
Symmetry breaking in graphs.
System of equations in commuting variables for free products of Abelian groups.
Systèmes sous-elliptiques
Systems of equations over locally p-indicable groups.
Systolic groups acting on complexes with no flats are word-hyperbolic
We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.