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Summary Of: Word metric
The word metric on G is very closely related to the... the word metric measures the length of the shortest path in the Cayley graph between two elements of... 3 in the word metric is therefore equal to 3... between two integers m and n in the word metric is equal to... in the word metric is equal to... in the word metric with respect to S is defined to be... The word metric on G satisfies the axioms for a... The word metric has an equivalent definition formulated in more geometric terms using the... The word metric on G can also be defined without assuming that the generating set S is closed... Then define the word metric with respect to S to be the word metric with respect to the symmetrization of... The word metric on a group G is not unique... of word metrics says that any finitely generated word metric on G is... isometrically invariant property satisfied by the word metric of G or by any model space of G is an isomorphism invariant of G... Encyclodia Page On: Word metric
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