Periodic Reporting for period 1 - GroupConciseness (Conciseness of words in residually finite and profinite groups)

Within the area of group theory, a word (or a group-word) w in k variables is, by definition, an element of the free group of rank k. Thus, for every group G, the word w defines a map w_G from the direct product of k copies of G to G itself defined by substituting word...