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On product varieties of groups
Published online by Cambridge University Press: 17 April 2009
Abstract
An example is given of a finitely based variety of groups such that
is not finitely based.
Let be the variety of groups determined by the laws
(1) [[x1, x2], [x3, x4, [x5, x6]],
(2) [[x1, x2, x3], [x4, x5]] [[x1x2], [x4, x5, x3]]−1,
[[x1, x2, x3], [x1, x2]]. Then
is not finitely based.
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- Copyright © Australian Mathematical Society 1971
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