Geodesic
GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 529-534

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that if G is a hypercentral group with all subgroups subnormal, and if the torsion subgroup of G is a π-group for some finite set π of primes, then G is nilpotent. In the case where G is not hypercentral there is a section of G that is much like one of the well-known Heineken-Mohamed groups. It is also shown that if G is a residually nilpotent group with all subgroups subnormal whose torsion subgroup satisfies the above condition then G is nilpotent.
DOI : 10.1017/S0017089512000134
Mots-clés : 20E15, 20F19 
SMITH, HOWARD. GROUPS THAT INVOLVE FINITELY MANY PRIMES AND HAVE ALL SUBGROUPS SUBNORMAL II. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 529-534. doi: 10.1017/S0017089512000134
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