Symmetrized

Some articles on symmetrized:

Small Cancellation Theory - Main Definitions - Pieces
... reduced words in the free group F(X) such that R is symmetrized, that is, closed under taking cyclic permutations and inverses ... group presentation where the set of defining relators S is not symmetrized, we can always take the symmetrized closure R of S, where R consists of all cyclic permutations of elements of ... Then R is symmetrized and is also a presentation of G ...
Small Cancellation Theory - Main Definitions - Examples
... Then for the symmetrized closure of this presentation the only pieces are words of length 1 ... This symmetrized form satisfies the C(4)-T(4) small cancellation conditions and the C'(λ) condition for any 1 > λ > 1/4 ... Then, up to inversion, every piece for the symmetrized version of this presentation, has the form biabj or bi, where 0 ≤ i,j ≤ 100 ...