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A class of groups whose local sequence is nonstationary

A class of groups whose local sequence is nonstationary

Let 2 be a class of groups. Define the local operator L as follows: (i) LO (2) = Z. (ii) If a>O is an ordinal number, then La(2)=the class of all groups having an upper-directed cover of subgroups, each belonging to the class U {Lil(2)JIl 0 is an ordinal number, …