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6.16 (1978)

Solved

A variety is called sparse if it has at most countably many subvarieties. How many sparse 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); S. V. Ivanov, A. M. Storozhev, Contemp. Math., 360 (2004), 55–62).

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