Usan J.
On TS-n-groups

In this article totally simmetric n-group is described as an n-groupoid (Q,B) in which the following laws hold:
B(x,y,a₁^n-2) = B(y,x,a₁^n-2) ,      B(a,c₁^n-2,B(B(B(z,c₁^n-2,z),c₁^n-2 ,b),c₁^n-2,B(B(z,c₁^n-2,z),c₁^n-2 ,a))) = b ,
B(x,a₁^n-2,y)=B(x,a₁^n-2, B(B(y,a₁^n-2,y),a₁^n-2,y))   and    B(B(x,z,b₁^n-2),B(y,a₁^n-2,z), a₁^n-2)=B(x,y,b₁^n-2) .