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About varieties of weakly abelian \(\ell\)-groups. (English) Zbl 0769.06009
The author answers the question if the equality \(W_ a=\bigcup^ \infty_{n=1} N_ n\) is true. Where \(N_ n\) is the variety of all nilpotent \(\ell\)-groups of class \(n\) and \(W_ a\) is the variety of all weakly Abelian \(\ell\)-groups. Further he constructs a variety of weakly Abelian \(\ell\)-groups for every prime \(p\) which is not generated by the set of its nilpotent \(\ell\)-groups.

06F15 Ordered groups
Full Text: EuDML
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