Resumen de Locally soluble groups with all nontrivial normal subgroups isomorphic

John C. Lennox, Howard Smith, James Wiegold

• 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.