Locally soluble groups with all nontrivial normal subgroups isomorphic.
John C. Lennox, Howard Smith, James Wiegold (1994)
Publicacions Matemàtiques
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Let G be an infinite, locally soluble group which is isomorphic to all its nontrivial normal subgroups. If G/G' has finite p-rank for p = 0 and for all primes p, then G is cyclic.