On the clones of nilpotent groups with a verbal subgroup of prime order. (English) Zbl 1374.08003
Summary: We show that if \(G\) is a finite nilpotent group with a verbal subgroup of prime order then the clone of \(G\) is not determined by the subgroups of \(G^2\).
MSC:
08A40 | Operations and polynomials in algebraic structures, primal algebras |
20D30 | Series and lattices of subgroups |
20E15 | Chains and lattices of subgroups, subnormal subgroups |
20D15 | Finite nilpotent groups, \(p\)-groups |
References:
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