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6.15 (1978)

Solved

A variety is said to be pro-locally-finite if it is not locally finite while all of its proper subvarieties are locally finite. An example — the variety of abelian groups. How many pro-locally-finite varieties of groups are there?

Contributor: A. V. Kuznetsov

Progress

There are continuum of such varieties (P. A. Kozhevnikov, On varieties of groups of large odd exponent, Dep. 1612-V00, VINITI, Moscow, 2000 (Russian)).

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