Locally soluble groups with all nontrivial normal subgroups isomorphic.
Lennox, John C. ; Smith, Howard ; Wiegold, James
Publicacions Matemàtiques, Tome 38 (1994), p. 203-205 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 1994-01-01
DMLE-ID : 3740 
@article{urn:eudml:doc:41196,
     title = {Locally soluble groups with all nontrivial normal subgroups isomorphic.},
     journal = {Publicacions Matem\`atiques},
     volume = {38},
     year = {1994},
     pages = {203-205},
     mrnumber = {MR1291962},
     zbl = {0821.20021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41196}
}

Lennox, John C.; Smith, Howard; Wiegold, James. Locally soluble groups with all nontrivial normal subgroups isomorphic.. Publicacions Matemàtiques, Tome 38 (1994) pp. 203-205. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41196/